What is (1/2 a^2b^5)(3/8 a^4bc^2) ?

The solution to (1/2 a^2b^5)(3/8 a^4bc^2) is (3a^6b^6c^2)/(16)

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simplify (1/2 a^2b^5)(3/8 a^4bc^2)

simplify

(\frac{1}{2} a^{2} b^{5}) (\frac{3}{8} a^{4} b c^{2})

\frac{3 a ^{6} b ^{6} c ^{2}}{16}

Solution steps

(\frac{1}{2} a^{2} b^{5}) (\frac{3}{8} a^{4} b c^{2})

Apply exponent rule:

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

a^{2} a^{4} = a^{2 + 4}

= \frac{1}{2} b^{5} \frac{3}{8} a^{2 + 4} b c^{2}

Add the numbers:

2 + 4 = 6

= \frac{1}{2} b^{5} \frac{3}{8} a^{6} b c^{2}

Apply exponent rule:

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

b^{5} b = b^{5 + 1}

= \frac{1}{2} \cdot \frac{3}{8} a^{6} b^{5 + 1} c^{2}

Add the numbers:

5 + 1 = 6

= \frac{1}{2} \cdot \frac{3}{8} a^{6} b^{6} c^{2}

Multiply fractions:

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

= \frac{1 \cdot 3 a ^{6} b ^{6} c ^{2}}{2 \cdot 8}

Refine

= \frac{3 a ^{6} b ^{6} c ^{2}}{16}

\frac{x + 2}{x}

\frac{1296 x ^{8} - 72 x ^{4} + 1}{144 x ^{4}}

2 x^{\frac{1}{2}}

e^{- \frac{2}{3}} \cdot 2

200 e^{- 0.014 x}

What is (1/2 a^2b^5)(3/8 a^4bc^2) ?
The solution to (1/2 a^2b^5)(3/8 a^4bc^2) is (3a^6b^6c^2)/(16)