en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (64x^3)^2

Solution

simplify

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

Solution

4096 x^{6}

Solution steps

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

Apply exponent rule:

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

(64 x^{3})^{2} = 6 4^{2} (x^{3})^{2}

= 6 4^{2} (x^{3})^{2}

6 4^{2} = 4096

= 4096 (x^{3})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(x^{3})^{2} = x^{3 \cdot 2}

= 4096 x^{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= 4096 x^{6}

Popular Examples

simplify 25(xy)^4+18(x^2y^2)^2+(-63x^4)y^4 simplify

25 (x y)^{4} + 18 (x^{2} y^{2})^{2} + (- 63 x^{4}) y^{4}

expand (5+y)^3 expand

(5 + y)^{3}

simplify (d^4)^{1/3}simplify

(d^{4})^{\frac{1}{3}}

simplify (-2x*y^2)^4 simplify

(- 2 x \cdot y^{2})^{4}

simplify (b^{0.27}+5*4-*12)/(3x)simplify

\frac{b ^{0.27} + 5 \cdot 4 - \cdot 12}{3 x}

Frequently Asked Questions (FAQ)

What is (64x^3)^2 ?
The solution to (64x^3)^2 is 4096x^6