What is (sqrt(16/81))^4 ?

The solution to (sqrt(16/81))^4 is 256/6561

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simplify (sqrt(16/81))^4

simplify

(\frac{16}{81})^{4}

\frac{256}{6561}

Decimal Notation

0.03901 \dots

Solution steps

(\frac{16}{81})^{4}

Rewrite

4

2 \cdot 2

= (\frac{16}{81})^{2 \cdot 2}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

(\frac{16}{81})^{2 \cdot 2} = (\frac{16}{81})^{2}^{2}

= (\frac{16}{81})^{2}^{2}

Apply exponent rule:

(\frac{16}{81})^{2} = \frac{16}{81}

= (\frac{16}{81})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 6 ^{2}}{8 1 ^{2}}

1 6^{2} = 256

= \frac{256}{8 1 ^{2}}

8 1^{2} = 6561

= \frac{256}{6561}

3.8 \times 1 0^{- 4}

e^{- 3} \cdot \frac{3 ^{2}}{2 !}

e^{- π \cdot \frac{0.24065}{1 - 0.2406 5 ^{2}}}

3^{3}

6.6667 x 1 0^{- 11} x \frac{5.98 x 1 0 ^{- 11}}{( 6400 + 700 ) ^{2}}