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Popular >

simplify (10x^4)(10x^3)

Solution

simplify

(10 x^{4}) (10 x^{3})

Solution

100 x^{7}

Solution steps

(10 x^{4}) (10 x^{3})

Apply exponent rule:

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

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

= x^{4} \cdot 1 0^{1 + 1} x^{3}

Add the numbers:

1 + 1 = 2

= x^{4} \cdot 1 0^{2} x^{3}

Apply exponent rule:

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

x^{4} x^{3} = x^{4 + 3}

= 1 0^{2} x^{4 + 3}

Add the numbers:

4 + 3 = 7

= 1 0^{2} x^{7}

1 0^{2} = 100

= 100 x^{7}

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Frequently Asked Questions (FAQ)

What is (10x^4)(10x^3) ?
The solution to (10x^4)(10x^3) is 100x^7