What is ((3^2)(4)(5^3))/((2\times 5)^{-2)} ?

The solution to ((3^2)(4)(5^3))/((2\times 5)^{-2)} is 450000

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simplify ((3^2)(4)(5^3))/((2\times 5)^{-2)}

simplify

\frac{( 3 ^{2} ) ( 4 ) ( 5 ^{3} )}{( 2 \cdot 5 ) ^{- 2}}

450000

Solution steps

\frac{( 3 ^{2} ) ( 4 ) ( 5 ^{3} )}{( 2 \cdot 5 ) ^{- 2}}

(3^{2}) (4) (5^{3}) = 3^{2} \cdot 4 \cdot 5^{3}

= \frac{3 ^{2} \cdot 4 \cdot 5 ^{3}}{( 2 \cdot 5 ) ^{- 2}}

Apply exponent rule:

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

(2 \cdot 5)^{- 2} = 2^{- 2} \cdot 5^{- 2}

= \frac{3 ^{2} \cdot 4 \cdot 5 ^{3}}{2 ^{- 2} \cdot 5 ^{- 2}}

Factor the number:

4 = 2^{2}

= \frac{3 ^{2} \cdot 2 ^{2} \cdot 5 ^{3}}{2 ^{- 2} \cdot 5 ^{- 2}}

\frac{2 ^{2}}{2 ^{- 2}} = 2^{4}

= \frac{3 ^{2} \cdot 2 ^{4} \cdot 5 ^{3}}{5 ^{- 2}}

\frac{5 ^{3}}{5 ^{- 2}} = 5^{5}

= 3^{2} \cdot 2^{4} \cdot 5^{5}

3^{2} \cdot 2^{4} \cdot 5^{5} = 450000

= 450000

x^{2} - 3 x + 28 = 0

285 \cdot \frac{π}{180}

x^{4} + 5 x^{3} - 14 x^{2}

∣ 3 x - 2 ∣ > ∣ x + 2 ∣

\frac{\frac{π}{3}}{2}

What is ((3^2)(4)(5^3))/((2\times 5)^{-2)} ?
The solution to ((3^2)(4)(5^3))/((2\times 5)^{-2)} is 450000