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Popular >

simplify 16^{-2/3}

Solution

simplify

1 6^{- \frac{2}{3}}

Solution

\frac{1}{4 \cdot 2 ^{\frac{2}{3}}}

+1

Decimal Notation

0.15749 \dots

Solution steps

1 6^{- \frac{2}{3}}

Prime factorization of

16 : 2^{4}

= (2^{4})^{- \frac{2}{3}}

Apply exponent rule:

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

2^{4} = 2^{3} \cdot 2

= (2^{3} \cdot 2)^{- \frac{2}{3}}

Apply exponent rule:

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

(2^{3} \cdot 2)^{- \frac{2}{3}} = (2^{3})^{- \frac{2}{3}} \cdot 2^{- \frac{2}{3}}

= (2^{3})^{- \frac{2}{3}} \cdot 2^{- \frac{2}{3}}

(2^{3})^{- \frac{2}{3}} = \frac{1}{4}

= \frac{1}{4} \cdot 2^{- \frac{2}{3}}

Apply exponent rule:

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

2^{- \frac{2}{3}} = \frac{1}{2 ^{\frac{2}{3}}}

= \frac{1}{4} \cdot \frac{1}{2 ^{\frac{2}{3}}}

\frac{1}{4} \cdot \frac{1}{2 ^{\frac{2}{3}}} = \frac{1}{4 \cdot 2 ^{\frac{2}{3}}}

= \frac{1}{4 \cdot 2 ^{\frac{2}{3}}}

Popular Examples

150 = 2 x

simplify (-8-9i)(-7+5i)simplify

(- 8 - 9 i) (- 7 + 5 i)

factor u^2-35uv+34v^2 factor

u^{2} - 35 uv + 34 v^{2}

2/5 x+1/2 = 7/6

\frac{2}{5} x + \frac{1}{2} = \frac{7}{6}

n^{2} = - 78

Frequently Asked Questions (FAQ)

What is 16^{-2/3} ?
The solution to 16^{-2/3} is 1/(4*2^{2/3)}