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Popular >

simplify (2b)(2c)(2b^2)(2c^2)

Solution

simplify

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

Solution

16 b^{3} c^{3}

Solution steps

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

Apply exponent rule:

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

2 \cdot 2 \cdot 2 \cdot 2 = 2^{1 + 1 + 1 + 1}

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

Add the numbers:

1 + 1 + 1 + 1 = 4

= b c b^{2} \cdot 2^{4} c^{2}

Apply exponent rule:

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

b b^{2} = b^{1 + 2}

= c b^{1 + 2} \cdot 2^{4} c^{2}

Add the numbers:

1 + 2 = 3

= c b^{3} \cdot 2^{4} c^{2}

Apply exponent rule:

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

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

= b^{3} \cdot 2^{4} c^{1 + 2}

Add the numbers:

1 + 2 = 3

= b^{3} \cdot 2^{4} c^{3}

2^{4} = 16

= 16 b^{3} c^{3}

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Frequently Asked Questions (FAQ)

What is (2b)(2c)(2b^2)(2c^2) ?
The solution to (2b)(2c)(2b^2)(2c^2) is 16b^3c^3