What is (64x^4)^{0.5}*4x^{-2} ?

The solution to (64x^4)^{0.5}*4x^{-2} is 32

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (64x^4)^{0.5}*4x^{-2}

simplify

(64 x^{4})^{0.5} \cdot 4 x^{- 2}

32

Solution steps

(64 x^{4})^{0.5} \cdot 4 x^{- 2}

Simplify

(64 x^{4})^{0.5} : 8 x^{2}

= 8 x^{2} \cdot 4 x^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

x^{- 2} = \frac{1}{x ^{2}}

= 8 x^{2} \cdot 4 \cdot \frac{1}{x ^{2}}

Multiply the numbers:

8 \cdot 4 = 32

= 32 x^{2} \frac{1}{x ^{2}}

Cross-cancel common factor:

x^{2}

= 32

(1 + x)^{2}

1.21 \cdot 0.16

77 \cdot 7 \cdot 7

1.8 x 1 0^{- 5}

(x^{4} - 2 x^{3} - 11 x^{2} + 30 x - 20) e n t re (x^{2} + 3 x - 2)