What is 3^{-5}0.3^{-2} ?

The solution to 3^{-5}0.3^{-2} is 0.04572…

Popular >

simplify 3^{-5}0.3^{-2}

simplify

3^{- 5} 0. 3^{- 2}

0.04572 \dots

Solution steps

3^{- 5} \cdot 0. 3^{- 2}

Apply exponent rule:

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

= 0. 3^{- 2} \cdot \frac{1}{3 ^{5}}

Apply exponent rule:

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

= \frac{1}{3 ^{5}} \cdot \frac{1}{0. 3 ^{2}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{3 ^{5} \cdot 0. 3 ^{2}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{3 ^{5} \cdot 0. 3 ^{2}}

3^{5} \cdot 0. 3^{2} = 21.87

= \frac{1}{21.87}

Divide the numbers:

\frac{1}{21.87} = 0.04572 \dots

= 0.04572 \dots

- 16 \cdot - 25

10 e^{- 5000} \cdot 20 e^{- 5000}

- 1200 (1 + 0.11)^{- 1}

0.432 \cdot 6.022 \cdot 1 0^{- 23}

7^{2} \cdot 6^{2}