Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3−178−14 with positive exponents only

1 answer

To generate an expression equivalent to 3^(-17)/8^(-14) with positive exponents only, we can use the property of negative integer exponents which states that a^(-n) is equal to 1/a^n.

Using this property, we can rewrite the expression as:

1/(3^17) / 1/(8^14)

Now, let's simplify further:

1/(3^17) can be rewritten as 3^(-17)

1/(8^14) can be rewritten as 8^(-14)

Therefore, the expression 3^(-17)/8^(-14) with positive exponents only is equal to 3^(-17) / 8^(-14).