Question

(3/4)^(-2) x 16/9 x 1/4 x 81/64. Simplify using exponential law

Answer 1

Answer:

Originally Answered: How do I solve (16/81) ^-3/4?

Originally Answered: How do I solve (16/81) ^-3/4?Let's start by getting your terminology right. There is no variable here, so there is nothing to solve for. What you are intending to ask is, “How do I ‘simplify’ this expression”.

Originally Answered: How do I solve (16/81) ^-3/4?Let's start by getting your terminology right. There is no variable here, so there is nothing to solve for. What you are intending to ask is, “How do I ‘simplify’ this expression”.The order of operations can be done multiple ways on this one. I like to start by recognizing the negative symbol in the exponent as a “reciprocal sign”.

Originally Answered: How do I solve (16/81) ^-3/4?Let's start by getting your terminology right. There is no variable here, so there is nothing to solve for. What you are intending to ask is, “How do I ‘simplify’ this expression”.The order of operations can be done multiple ways on this one. I like to start by recognizing the negative symbol in the exponent as a “reciprocal sign”.So 1681−341681−34=811634=811634.

Originally Answered: How do I solve (16/81) ^-3/4?Let's start by getting your terminology right. There is no variable here, so there is nothing to solve for. What you are intending to ask is, “How do I ‘simplify’ this expression”.The order of operations can be done multiple ways on this one. I like to start by recognizing the negative symbol in the exponent as a “reciprocal sign”.So 1681−341681−34=811634=811634.(Technically these fractions should be in parentheses but I'm having a time getting the MathType to cooperate.)

Originally Answered: How do I solve (16/81) ^-3/4?Let's start by getting your terminology right. There is no variable here, so there is nothing to solve for. What you are intending to ask is, “How do I ‘simplify’ this expression”.The order of operations can be done multiple ways on this one. I like to start by recognizing the negative symbol in the exponent as a “reciprocal sign”.So 1681−341681−34=811634=811634.(Technically these fractions should be in parentheses but I'm having a time getting the MathType to cooperate.)Next, recognizing that the 4 in the denominator of the rational exponent means to take the 4th root, I do that next.

Originally Answered: How do I solve (16/81) ^-3/4?Let's start by getting your terminology right. There is no variable here, so there is nothing to solve for. What you are intending to ask is, “How do I ‘simplify’ this expression”.The order of operations can be done multiple ways on this one. I like to start by recognizing the negative symbol in the exponent as a “reciprocal sign”.So 1681−341681−34=811634=811634.(Technically these fractions should be in parentheses but I'm having a time getting the MathType to cooperate.)Next, recognizing that the 4 in the denominator of the rational exponent means to take the 4th root, I do that next.1614=21614=2 and 8114=38114=3

Originally Answered: How do I solve (16/81) ^-3/4?Let's start by getting your terminology right. There is no variable here, so there is nothing to solve for. What you are intending to ask is, “How do I ‘simplify’ this expression”.The order of operations can be done multiple ways on this one. I like to start by recognizing the negative symbol in the exponent as a “reciprocal sign”.So 1681−341681−34=811634=811634.(Technically these fractions should be in parentheses but I'm having a time getting the MathType to cooperate.)Next, recognizing that the 4 in the denominator of the rational exponent means to take the 4th root, I do that next.1614=21614=2 and 8114=38114=3So now I have:

Originally Answered: How do I solve (16/81) ^-3/4?Let's start by getting your terminology right. There is no variable here, so there is nothing to solve for. What you are intending to ask is, “How do I ‘simplify’ this expression”.The order of operations can be done multiple ways on this one. I like to start by recognizing the negative symbol in the exponent as a “reciprocal sign”.So 1681−341681−34=811634=811634.(Technically these fractions should be in parentheses but I'm having a time getting the MathType to cooperate.)Next, recognizing that the 4 in the denominator of the rational exponent means to take the 4th root, I do that next.1614=21614=2 and 8114=38114=3So now I have:(32)3=278(32)3=278

Originally Answered: How do I solve (16/81) ^-3/4?Let's start by getting your terminology right. There is no variable here, so there is nothing to solve for. What you are intending to ask is, “How do I ‘simplify’ this expression”.The order of operations can be done multiple ways on this one. I like to start by recognizing the negative symbol in the exponent as a “reciprocal sign”.So 1681−341681−34=811634=811634.(Technically these fractions should be in parentheses but I'm having a time getting the MathType to cooperate.)Next, recognizing that the 4 in the denominator of the rational exponent means to take the 4th root, I do that next.1614=21614=2 and 8114=38114=3So now I have:(32)3=278(32)3=278That's it!