What is (27b^{30})(1/3 b^9) ?

The solution to (27b^{30})(1/3 b^9) is 9b^{39}

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simplify (27b^{30})(1/3 b^9)

simplify

(27 b^{30}) (\frac{1}{3} b^{9})

9 b^{39}

Solution steps

(27 b^{30}) (\frac{1}{3} b^{9})

Apply exponent rule:

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

b^{30} b^{9} = b^{30 + 9}

= 27 \cdot \frac{1}{3} b^{30 + 9}

Add the numbers:

30 + 9 = 39

= 27 \cdot \frac{1}{3} b^{39}

Multiply fractions:

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

= \frac{1 \cdot 27 b ^{39}}{3}

Multiply the numbers:

1 \cdot 27 = 27

= \frac{27 b ^{39}}{3}

Divide the numbers:

\frac{27}{3} = 9

= 9 b^{39}

8.591 \cdot 1 0^{- 2}

7.4 \cdot 1 0^{- 4}

\frac{4.3 4 ^{2}}{5.1 9 ^{2}}

7.6 \cdot 1 0^{- 6}