(x^-2)^3 (x^2)^4 on the bottom its x^15
I did this to get my answer (x)^-6 (x)^-8 /x^15 got x^-4 / x^15= x-14-(15)= -29
final answer is x^-29
IDK what I did wrong the computer saying its wrong! Help pleas
Hmm. Watch those minus signs.
(x^-2)^3 (x^2)^4 = x^-6 * x^8 = x^2
x^2/x^15 = 1/x^13 = x^-13
so you have (x^-2)^3 (x^2)^4 / x^15
then
= (x^-6)(x^8)/x^15
= (x^2)(x^-15)
= x^(-13) or 1/x^13
To evaluate the expression:
(x^-2)^3 * (x^2)^4 / x^15
We can simplify it step by step.
First, let's simplify the exponents inside the parentheses:
(x^-2)^3 becomes x^-6 since we multiply the exponents: -2 * 3 = -6.
Similarly, (x^2)^4 becomes x^8 since we multiply the exponents: 2 * 4 = 8.
Now, we can rewrite the expression:
x^-6 * x^8 / x^15
To divide exponential terms with the same base, we subtract the exponents:
x^(-6 + 8) / x^15 = x^2 / x^15
Now, apply the rule of subtracting exponents:
x^(2 - 15) = x^-13
So the simplified expression is x^-13.
It seems you made an error when subtracting the exponents. Instead of subtracting 14 from 15, you subtracted 15 from -4, which led to -29. Remember, when dividing terms with the same base, you subtract the exponents, not the whole numbers.
Therefore, the correct answer is x^-13.