What is (1/6 a^5)(16a^5) ?

The solution to (1/6 a^5)(16a^5) is (8a^{10})/3

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simplify (1/6 a^5)(16a^5)

simplify

(\frac{1}{6} a^{5}) (16 a^{5})

\frac{8 a ^{10}}{3}

Solution steps

(\frac{1}{6} a^{5}) (16 a^{5})

Apply exponent rule:

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

a^{5} a^{5} = a^{5 + 5}

= \frac{1}{6} \cdot 16 a^{5 + 5}

Add the numbers:

5 + 5 = 10

= \frac{1}{6} \cdot 16 a^{10}

Multiply fractions:

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

= \frac{1 \cdot 16 a ^{10}}{6}

Multiply the numbers:

1 \cdot 16 = 16

= \frac{16 a ^{10}}{6}

Cancel the common factor:

2

= \frac{8 a ^{10}}{3}

\frac{y ^{x - 1}}{( 1 - y ) ^{x - 1}}

(7 x - 3) (0.5 x^{- 1.5})

1 0^{- 500}

2 (c e^{- 2 x})

(e^{3})^{x - 1}