en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-8a^5)^2

Solution

simplify

(- 8 a^{5})^{2}

Solution

64 a^{10}

Solution steps

(- 8 a^{5})^{2}

Apply exponent rule:

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

if

n

is even

(- 8 a^{5})^{2} = (8 a^{5})^{2}

= (8 a^{5})^{2}

Apply exponent rule:

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

(8 a^{5})^{2} = 8^{2} (a^{5})^{2}

= 8^{2} (a^{5})^{2}

8^{2} = 64

= 64 (a^{5})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= 64 a^{5 \cdot 2}

Multiply the numbers:

5 \cdot 2 = 10

= 64 a^{10}

Popular Examples

simplify sqrt(250)*sqrt(60)simplify

250 \cdot 60

simplify (x^2-9x+14)/(x^2-16x+63)simplify

\frac{x ^{2} - 9 x + 14}{x ^{2} - 16 x + 63}

simplify f^{-1}(0)simplify

f^{- 1} (0)

simplify (-2)3 simplify

(- 2) 3

simplify (-3)4 simplify

(- 3) 4

Frequently Asked Questions (FAQ)

What is (-8a^5)^2 ?
The solution to (-8a^5)^2 is 64a^{10}