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Popular >

simplify (10b^3c)(2b^3c^2)

Solution

simplify

(10 b^{3} c) (2 b^{3} c^{2})

Solution

20 b^{6} c^{3}

Solution steps

(10 b^{3} c) (2 b^{3} c^{2})

Apply exponent rule:

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

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

= 10 c \cdot 2 b^{3 + 3} c^{2}

Add the numbers:

3 + 3 = 6

= 10 c \cdot 2 b^{6} c^{2}

Apply exponent rule:

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

c c^{2} = c^{1 + 2}

= 10 \cdot 2 b^{6} c^{1 + 2}

Add the numbers:

1 + 2 = 3

= 10 \cdot 2 b^{6} c^{3}

Multiply the numbers:

10 \cdot 2 = 20

= 20 b^{6} c^{3}

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Frequently Asked Questions (FAQ)

What is (10b^3c)(2b^3c^2) ?
The solution to (10b^3c)(2b^3c^2) is 20b^6c^3