Simplify and express the result
in exponential form.
please answer fast I have to solve exam paper
Answers
Answer:
Here is the solution
Step-by-step explanation:
( -2 3 ) ^ 8 * [ ( -2 3 ) ^ 2 ] ^ 3
Multiplication ха b X = X a+b *
Add exponents
Division
a
X
b
X
Subtract exponents
Power of a power b X
Multiply exponents
Power of a product
a (x*y) a = x² = ya a X *
Distribute exponents
a-b
X
Power of a quotient
a a X Y = a
Distribute exponents
Use exponential properties to simplify exponential expressions.
To multiply two exponential expressions with the same base is equivalent to the base raised to the sum of the two exponents.
To divide two exponential expressions with the same base is equivalent to the base raised to the difference of the two exponents.
To raise an exponential expression to another exponent, also called power of a power, is equivalent to thebase raised to the product of the two exponents.
To raise the product of two or more numbers to an exponent, also called power of a product, is equivalent to the product of each factor raised to the exponent.
To raise the quotient of two or more numbers to an exponent, also called power of a quotient, is equivalent to raising the numerator to that exponent and dividing by the denominator raised to that exponent.