CPM Homework Help : GB8I Problem 2-59

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2-59.

Which of the expressions below are equivalent to $16x^8$ ? Make sure you find all the correct answers!

$(16x^4)^2$

Hint (a):
$(16x^4)(16x^4)$
Answer (a):
$256x^8$

$8x^2·2x^6$

Answer (b):
$16x^8$

$(2x^2)^4$

Hint (c):
$(2x^2)(2x^2)(2x^2)(2x^2)$
Answer (c):
$16x^8$

$(4x^4)^2$

Hint (d):
$(4x^4)(4x^4)$
Answer (d):
$16x^8$

$(2x^4)^4$

Hint (e):
$(2x^4)(2x^4)(2x^4)(2x^4)$

$(\ \frac{1}{16}x^{−8})^{−1}$

Hint (f):
A negative exponent means that the fraction and the variable must be reciprocated (flipped).

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