Question

what is the value of n in the simplified expression?
(4k^7)^3 = 4^n • (k^7)^3 = 64k^21?

Answer 1

Answer:

n = 3

Step-by-step explanation:

$(4k^7)^3\ \text{it's equal to}\ 64k^{21}\\\\(4k^7)^3\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=4^3(k^7)^3=64k^{7\cdot3}=64k^{21}\\\\4^3(k^7)^3=4^n(k^7)^3\Rightarrow n=3$

Answer 2

The value of n in the simplified expression is 3.

How to simplify an expression?

To simplify an expression approach write an equivalent expression that includes no comparable terms. This means that we will rewrite the expression with the fewest phrases feasible.

What is simplify?

Simplifying means to make it less complicated, clearer, or easier. maths to reduce (an equation, fraction, and many others) to a less difficult form by means of cancellation of commonplace factors, regrouping of phrases in the identical variable, etc.

Learn more about simplifying here: https://brainly.com/question/723406

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