[(3/2)^-2]^2 simplify this problem
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Answered by
1
hey mate here is ur answer =
(3/2)^(-2)=1/(9/4)=4/9
(4/9)²=16/81.
hope it helps.
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Answered by
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The problem to solve is:
[(3/2)^-2]^2 simplify this problem
3/2 evaluates to
The 9/4 becomes a 4/9
The exponent, -2, is negative, so we'll have to handle it a little bit differently here.
But for now, we'll treat it as it was positive, and handle it in the usual manner... that is, as if it were at +2.
Now, because of the negative exponent, we take this result, and turn it upside-down.
That is, a number becomes 1/the number, or a fraction is literally flipped upside-down.
This effectively "flips" the entire result upside down, but that's exactly what negative exponents do!
In this case...
The 1 becomes a 1/1
(3/2)^-2 evaluates to
Raising to the exponent 2 is the same as multiplying by itself 2 times.
Multiply by
Multiply and
1
× =
[(3/2)^-2]^2*s*i*m*p*l*i*f*y*t*h*i*s*p*r*o*b*l*e*m evaluates to
The final answer is 16/81
[(3/2)^-2]^2 simplify this problem
3/2 evaluates to
The 9/4 becomes a 4/9
The exponent, -2, is negative, so we'll have to handle it a little bit differently here.
But for now, we'll treat it as it was positive, and handle it in the usual manner... that is, as if it were at +2.
Now, because of the negative exponent, we take this result, and turn it upside-down.
That is, a number becomes 1/the number, or a fraction is literally flipped upside-down.
This effectively "flips" the entire result upside down, but that's exactly what negative exponents do!
In this case...
The 1 becomes a 1/1
(3/2)^-2 evaluates to
Raising to the exponent 2 is the same as multiplying by itself 2 times.
Multiply by
Multiply and
1
× =
[(3/2)^-2]^2*s*i*m*p*l*i*f*y*t*h*i*s*p*r*o*b*l*e*m evaluates to
The final answer is 16/81
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