What is (7a^3b^4)(10a^3b) ?

The solution to (7a^3b^4)(10a^3b) is 70a^6b^5

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simplify (7a^3b^4)(10a^3b)

simplify

(7 a^{3} b^{4}) (10 a^{3} b)

70 a^{6} b^{5}

Solution steps

(7 a^{3} b^{4}) (10 a^{3} b)

Apply exponent rule:

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

a^{3} a^{3} = a^{3 + 3}

= 7 b^{4} \cdot 10 a^{3 + 3} b

Add the numbers:

3 + 3 = 6

= 7 b^{4} \cdot 10 a^{6} b

Apply exponent rule:

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

b^{4} b = b^{4 + 1}

= 7 \cdot 10 a^{6} b^{4 + 1}

Add the numbers:

4 + 1 = 5

= 7 \cdot 10 a^{6} b^{5}

Multiply the numbers:

7 \cdot 10 = 70

= 70 a^{6} b^{5}

(6.8 \cdot 1 0^{23}) \cdot (1.3 \cdot 1 0^{- 16})

\frac{140 \cdot 32}{8.31 \cdot 400} \cdot 1.49 \cdot 1 0^{- 5}

(1000) (1.2 \cdot 1 0^{- 5}) (9.8)

- \frac{e ^{- 1 0^{3} (1 0^{- 3})}}{1 0 ^{3}} 1 0^{- 3}