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Popular >

simplify (10a^2b)(10abc)

Solution

simplify

(10 a^{2} b) (10 ab c)

Solution

100 a^{3} b^{2} c

Solution steps

(10 a^{2} b) (10 ab c)

Apply exponent rule:

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

10 \cdot 10 = 1 0^{1 + 1}

= a^{2} b \cdot 1 0^{1 + 1} ab c

Add the numbers:

1 + 1 = 2

= a^{2} b \cdot 1 0^{2} ab c

Apply exponent rule:

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

a^{2} a = a^{2 + 1}

= b \cdot 1 0^{2} a^{2 + 1} b c

Add the numbers:

2 + 1 = 3

= b \cdot 1 0^{2} a^{3} b c

Apply exponent rule:

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

bb = b^{1 + 1}

= 1 0^{2} a^{3} b^{1 + 1} c

Add the numbers:

1 + 1 = 2

= 1 0^{2} a^{3} b^{2} c

1 0^{2} = 100

= 100 a^{3} b^{2} c

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Frequently Asked Questions (FAQ)

What is (10a^2b)(10abc) ?
The solution to (10a^2b)(10abc) is 100a^3b^2c