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!

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

step-by-step explanation:

for exempl this   system of equations   y = x - 3

                                                                y = 2x - 5

look   the line : y = x -3     ( red)

                            the line : y = 2x -5 ( bleus)