What is 9.1*10^{-32}*(0.8*3*10^8)^2 ?

The solution to 9.1*10^{-32}*(0.8*3*10^8)^2 is 10^{16}*(819)/(5^{32)*67108864000}

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simplify 9.110^{-32}(0.8310^8)^2

simplify

9.1 \cdot 1 0^{- 32} \cdot (0.8 \cdot 3 \cdot 1 0^{8})^{2}

1 0^{16} \cdot \frac{819}{5 ^{32} \cdot 67108864000}

Decimal Notation

0

Solution steps

9.1 \cdot 1 0^{- 32} (0.8 \cdot 3 \cdot 1 0^{8})^{2}

Apply exponent rule:

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

1 0^{- 32} = \frac{1}{1 0 ^{32}}

= 9.1 \cdot \frac{1}{1 0 ^{32}} (0.8 \cdot 3 \cdot 1 0^{8})^{2}

(0.8 \cdot 3 \cdot 1 0^{8})^{2} = 1 0^{16} \cdot 5.76

= 9.1 \cdot \frac{1}{1 0 ^{32}} \cdot 1 0^{16} \cdot 5.76

Multiply the numbers:

9.1 \cdot 5.76 = 52.416

= 52.416 \cdot \frac{1}{1 0 ^{32}} \cdot 1 0^{16}

= 1 0^{16} \cdot 52.416 \cdot \frac{1}{1 0 ^{32}}

1 0^{16} \cdot 52.416 \cdot \frac{1}{1 0 ^{32}} = 1 0^{16} \cdot \frac{52.416}{1 0 ^{32}}

= 1 0^{16} \cdot \frac{52.416}{1 0 ^{32}}

\frac{52.416}{1 0 ^{32}} = \frac{52416}{1000 \cdot 1 0 ^{32}}

= 1 0^{16} \cdot \frac{52416}{1000 \cdot 1 0 ^{32}}

Cancel

\frac{52416}{1000 \cdot 1 0 ^{32}} : \frac{819}{5 ^{32} \cdot 67108864000}

= 1 0^{16} \cdot \frac{819}{5 ^{32} \cdot 67108864000}

\frac{5}{16} 0. 1^{- 4}

\frac{1}{2 π} \cdot 1000 \cdot 10 \cdot 1 0^{- 9}

(8 \cdot 1 0^{2}) (1.3 \cdot 1.2 5^{- 9})

(7 - x)^{0.5} (5.25 - 1.5 x)^{0.5}

What is 9.1*10^{-32}*(0.8*3*10^8)^2 ?
The solution to 9.1*10^{-32}*(0.8*3*10^8)^2 is 10^{16}*(819)/(5^{32)*67108864000}