What is (3a^2b^7)(7a^3b^{25}) ?

The solution to (3a^2b^7)(7a^3b^{25}) is 21a^5b^{32}

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simplify (3a^2b^7)(7a^3b^{25})

simplify

(3 a^{2} b^{7}) (7 a^{3} b^{25})

21 a^{5} b^{32}

Solution steps

(3 a^{2} b^{7}) (7 a^{3} b^{25})

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

= 3 b^{7} \cdot 7 a^{2 + 3} b^{25}

Add the numbers:

2 + 3 = 5

= 3 b^{7} \cdot 7 a^{5} b^{25}

Apply exponent rule:

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

b^{7} b^{25} = b^{7 + 25}

= 3 \cdot 7 a^{5} b^{7 + 25}

Add the numbers:

7 + 25 = 32

= 3 \cdot 7 a^{5} b^{32}

Multiply the numbers:

3 \cdot 7 = 21

= 21 a^{5} b^{32}

(5 z)^{2}

a^{2} (b + c)^{2}

- 3 a^{2} b^{2} \cdot (b^{5} - 2 a b^{2})

\frac{5}{5} \cdot \frac{5}{5}

(6.67 \cdot 1 0^{- 11}) (7.36 \cdot 1 0^{22})

What is (3a^2b^7)(7a^3b^{25}) ?
The solution to (3a^2b^7)(7a^3b^{25}) is 21a^5b^{32}