Question

Simplify this equation:


`{7}^(8) * {7}^(3) * {7}^(4) / {7}^(9) * {7}^(5)`

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Answer 1

7

Explanation:

Exponent law:

`\sf a^m * a^n = a^(m+n)\\\\(a^m)/(a^n)=a^(m-n)`

In exponents multiplication, when bases are same add the powers.

In exponents division, if bases are same subtract the powers.

`\sf (7^8*7^3*7^4)/(7^9*7^5)=(7^(8+3+4))/(7^(9+5))`

`\sf =(7^(15))/(7^(14))\\\\=7^(15-14)\\\\=7^1\\\\=7`