Question

Simplify 8^5/8^7 and write without negative exponents

Answer 1

To simplify \(8^5 / 8^7\) and write it without negative exponents, you can use the properties of exponents. When you divide two numbers with the same base, you subtract the exponents:

`(8^5 / 8^7 = 8^(5-7) = 8^(-2)).</p><p>`

Now, to write it without negative exponents, you can reciprocate the base and make the exponent positive:

`(8^(-2) = (1)/(8^2) = (1)/(64)).`

So, \(8^5 / 8^7\) simplifies to \(1/64\).