What is 2m^2*4m^{3/2}*4m^{-2} ?

The solution to 2m^2*4m^{3/2}*4m^{-2} is 32m^{3/2}

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simplify 2m^24m^{3/2}4m^{-2}

simplify

2 m^{2} \cdot 4 m^{\frac{3}{2}} \cdot 4 m^{- 2}

32 m^{\frac{3}{2}}

Solution steps

2 m^{2} \cdot 4 m^{\frac{3}{2}} \cdot 4 m^{- 2}

Multiply the numbers:

2 \cdot 4 \cdot 4 = 32

= 32 m^{2} m^{\frac{3}{2}} m^{- 2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

m^{2} m^{\frac{3}{2}} m^{- 2} = m^{2 + \frac{3}{2} - 2}

= 32 m^{2 + \frac{3}{2} - 2}

2 - 2 = 0

= 32 m^{\frac{3}{2}}

n^{2} - n - 56 = 0

22

\frac{y ^{3 x^{2} + \frac{8}{2} x - \frac{1}{3}}}{y ^{x^{2} + \frac{7}{2} x - \frac{1}{4}}}

4 x - 5 = 3 x - 2

5 x - 4 < 8 + 9 x

What is 2m^2*4m^{3/2}*4m^{-2} ?
The solution to 2m^2*4m^{3/2}*4m^{-2} is 32m^{3/2}