What is 10^{-4}(0.438)(3*3)^2 ?

The solution to 10^{-4}(0.438)(3*3)^2 is 0.0035478

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simplify 10^{-4}(0.438)(3*3)^2

simplify

1 0^{- 4} (0.438) (3 \cdot 3)^{2}

0.0035478

Solution steps

1 0^{- 4} (0.438) (3 \cdot 3)^{2}

Apply rule:

(a) = a

(0.438) = 0.438

= 1 0^{- 4} \cdot 0.438 (3 \cdot 3)^{2}

1 0^{- 4} = \frac{1}{10000}

= \frac{1}{10000} \cdot 0.438 (3 \cdot 3)^{2}

Apply exponent rule:

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

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

= \frac{1}{10000} \cdot 0.438 \cdot 3^{2} \cdot 3^{2}

3^{2} = 9

= \frac{1}{10000} \cdot 0.438 \cdot 9 \cdot 9

Multiply the numbers:

9 \cdot 9 = 81

= \frac{1}{10000} \cdot 0.438 \cdot 81

Multiply the numbers:

0.438 \cdot 81 = 35.478

= \frac{1}{10000} \cdot 35.478

\frac{1}{10000} \cdot 35.478 = \frac{35.478}{10000}

= \frac{35.478}{10000}

Divide the numbers:

\frac{35.478}{10000} = 0.0035478

= 0.0035478

\frac{3}{2} \cdot 2

\frac{2 ^{\frac{3}{2}}}{3 ^{\frac{3}{2}}}

\frac{e ^{x^{\frac{3.99}{4}}}}{e ^{x}}

What is 10^{-4}(0.438)(3*3)^2 ?
The solution to 10^{-4}(0.438)(3*3)^2 is 0.0035478