What is (5a^2b^3)(6a^kb) ?

The solution to (5a^2b^3)(6a^kb) is 30b^4a^{k+2}

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simplify (5a^2b^3)(6a^kb)

simplify

(5 a^{2} b^{3}) (6 a^{k} b)

30 b^{4} a^{k + 2}

Solution steps

(5 a^{2} b^{3}) (6 a^{k} b)

Apply exponent rule:

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

a^{2} a^{k} = a^{2 + k}

= 5 b^{3} \cdot 6 a^{2 + k} b

Apply exponent rule:

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

b^{3} b = b^{3 + 1}

= 5 \cdot 6 a^{2 + k} b^{3 + 1}

Add the numbers:

3 + 1 = 4

= 5 \cdot 6 a^{2 + k} b^{4}

Multiply the numbers:

5 \cdot 6 = 30

= 30 b^{4} a^{k + 2}

55 (1.6 \cdot 1 0^{- 19})

e^{- t} ln (t^{2})

(8 \cdot 1 0^{5}) (5 \cdot 1 0^{9})

250 \cdot 2.5 \cdot 1 0^{- 6}

y^{0.5} \cdot 0.5 x^{- 0.5}