What is 7000(0.0075+1)^{(-3)} ?

The solution to 7000(0.0075+1)^{(-3)} is 6844.83329…

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simplify 7000(0.0075+1)^{(-3)}

simplify

7000 (0.0075 + 1)^{(- 3)}

6844.83329 \dots

Solution steps

7000 (0.0075 + 1)^{(- 3)}

Apply exponent rule:

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

= 7000 \cdot \frac{1}{( 1 + 0.0075 ) ^{3}}

Add the numbers:

0.0075 + 1 = 1.0075

= 7000 \cdot \frac{1}{1.007 5 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 7000}{1.007 5 ^{3}}

Multiply the numbers:

1 \cdot 7000 = 7000

= \frac{7000}{1.007 5 ^{3}}

1.007 5^{3} = 1.02266 \dots

= \frac{7000}{1.02266 \dots}

Divide the numbers:

\frac{7000}{1.02266 \dots} = 6844.83329 \dots

= 6844.83329 \dots

π \cdot 2 c m^{2} \cdot 15 c m

5.67 \cdot 1 0^{- 8} \cdot 30 3^{4}

5.871 x 1 0^{- 6}

(12 x^{3} y z^{3}) (9 x^{2} z^{3})

What is 7000(0.0075+1)^{(-3)} ?
The solution to 7000(0.0075+1)^{(-3)} is 6844.83329…