Blake simplified the expression ((x^12)/(x^-3))^5 to 1/x^20. what was his mistake?

a) he added 5 to the exponent in the numerator instead of multiplying.

b) he subtracted the exponents in the parentheses instead of dividing.

c) he multiplied only the exponent in the numerator of the fraction by 5.

d) he divided the exponents in the parentheses instead of subtracting.

d) He divided the exponents in the parentheses instead of subtracting

Step-by-step explanation:

First you should know that the power of a power based

"a" is the power based on "a" and whose exponent is the product of the exponents:

By simplifying the expression you get,

What Blake did wrong is what says option d) He divided the exponents in the parentheses instead of subtracting.

This is what he did wrong:

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Hope this helps!

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3