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Popular >

simplify (-4r^5)^2

Solution

simplify

(- 4 r^{5})^{2}

Solution

16 r^{10}

Solution steps

(- 4 r^{5})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 4 r^{5})^{2} = (4 r^{5})^{2}

= (4 r^{5})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 r^{5})^{2} = 4^{2} (r^{5})^{2}

= 4^{2} (r^{5})^{2}

4^{2} = 16

= 16 (r^{5})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(r^{5})^{2} = r^{5 \cdot 2}

= 16 r^{5 \cdot 2}

Multiply the numbers:

5 \cdot 2 = 10

= 16 r^{10}

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Frequently Asked Questions (FAQ)

What is (-4r^5)^2 ?
The solution to (-4r^5)^2 is 16r^{10}