What is sqrt(M+2)(2+M)^{3/2} ?

The solution to sqrt(M+2)(2+M)^{3/2} is (M+2)^2

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simplify sqrt(M+2)(2+M)^{3/2}

simplify

M + 2 (2 + M)^{\frac{3}{2}}

(M + 2)^{2}

Solution steps

M + 2 (2 + M)^{\frac{3}{2}}

Apply exponent rule:

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

M + 2 (2 + M)^{\frac{3}{2}} = (M + 2)^{\frac{1}{2}} (M + 2)^{\frac{3}{2}} = (M + 2)^{\frac{1}{2} + \frac{3}{2}}

= (M + 2)^{\frac{1}{2} + \frac{3}{2}}

Combine the fractions

\frac{1}{2} + \frac{3}{2} : 2

= (M + 2)^{2}

15 X 1 0^{- 4} (0.3)

(2 x^{3}) (3 x^{3})

e^{- l n (c o s (x)) d x}

e^{- 2 \frac{x ^{2}}{2}}

e^{- 2.5 \cdot 1 0^{- 4} \cdot 720}