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Popular >

simplify (-5z^4)^2

Solution

simplify

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

Solution

25 z^{8}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

5^{2} = 25

= 25 (z^{4})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(z^{4})^{2} = z^{4 \cdot 2}

= 25 z^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 25 z^{8}

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Frequently Asked Questions (FAQ)

What is (-5z^4)^2 ?
The solution to (-5z^4)^2 is 25z^8