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Popular >

simplify (2c)(2c^9)

Solution

simplify

(2 c) (2 c^{9})

Solution

4 c^{10}

Solution steps

(2 c) (2 c^{9})

Apply exponent rule:

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

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

= c \cdot 2^{1 + 1} c^{9}

Add the numbers:

1 + 1 = 2

= c \cdot 2^{2} c^{9}

Apply exponent rule:

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

c c^{9} = c^{1 + 9}

= 2^{2} c^{1 + 9}

Add the numbers:

1 + 9 = 10

= 2^{2} c^{10}

2^{2} = 4

= 4 c^{10}

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Frequently Asked Questions (FAQ)

What is (2c)(2c^9) ?
The solution to (2c)(2c^9) is 4c^{10}