en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2^3x^2)^5

Solution

simplify

(2^{3} x^{2})^{5}

Solution

32768 x^{10}

Solution steps

(2^{3} x^{2})^{5}

Apply exponent rule:

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

(2^{3} x^{2})^{5} = (2^{3})^{5} (x^{2})^{5}

= (2^{3})^{5} (x^{2})^{5}

(2^{3})^{5} = 32768

= 32768 (x^{2})^{5}

Apply exponent rule:

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

assuming

a \geq 0

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

= 32768 x^{2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= 32768 x^{10}

Popular Examples

simplify 10^4*[(7+3)^2]^{-3}simplify

1 0^{4} \cdot [(7 + 3)^{2}]^{- 3}

expand 3(x+h)^2+4(x+h)-2 expand

3 (x + h)^{2} + 4 (x + h) - 2

simplify-1/(2i)simplify

- \frac{1}{2 i}

simplify 5x^2-10x^2 simplify

5 x^{2} - 10 x^{2}

simplify-9*5 simplify

- 9 \cdot 5

Frequently Asked Questions (FAQ)

What is (2^3x^2)^5 ?
The solution to (2^3x^2)^5 is 32768x^{10}