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Popular >

simplify-64^{2/5}

Solution

simplify

- 6 4^{\frac{2}{5}}

Solution

- 4 \cdot 2^{\frac{2}{5}}

+1

Decimal Notation

- 5.27803 \dots

Solution steps

- 6 4^{\frac{2}{5}}

Prime factorization of

64 : 2^{6}

= - (2^{6})^{\frac{2}{5}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{6} = 2^{5} \cdot 2

= - (2^{5} \cdot 2)^{\frac{2}{5}}

Apply exponent rule:

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

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

= - (2^{5})^{\frac{2}{5}} \cdot 2^{\frac{2}{5}}

(2^{5})^{\frac{2}{5}} = 4

= - 4 \cdot 2^{\frac{2}{5}}

Popular Examples

simplify-3x-4x simplify

- 3 x - 4 x

expand (6w-2x^2)^2 expand

(6 w - 2 x^{2})^{2}

\frac{1}{2} \div \frac{4}{3}

simplify-3y+2y simplify

- 3 y + 2 y

\frac{4}{5} \div \frac{4}{3}

Frequently Asked Questions (FAQ)

What is simplify-64^{2/5} ?
The solution to simplify-64^{2/5} is -4*2^{2/5}