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Popular >

simplify (-2d^2)^5

Solution

simplify

(- 2 d^{2})^{5}

Solution

- 32 d^{10}

Solution steps

(- 2 d^{2})^{5}

Apply exponent rule:

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

if

n

is odd

(- 2 d^{2})^{5} = - (2 d^{2})^{5}

= - (2 d^{2})^{5}

Apply exponent rule:

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

(2 d^{2})^{5} = 2^{5} (d^{2})^{5}

= - 2^{5} (d^{2})^{5}

2^{5} = 32

= - 32 (d^{2})^{5}

Apply exponent rule:

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

assuming

a \geq 0

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

= - 32 d^{2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= - 32 d^{10}

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Frequently Asked Questions (FAQ)

What is (-2d^2)^5 ?
The solution to (-2d^2)^5 is -32d^{10}