Question

apply the property of negative integer exponents to generate an expression equivalate to 3-27/8-14 with positive exponents only

Answer 1

To apply the property of negative integer exponents, we can rewrite each term with a negative exponent as the reciprocal of the term with the positive exponent:

3^(-27) = 1/(3^27)
8^(-14) = 1/(8^14)

Therefore, the expression 3^(-27)/8^(-14) can be written as:

(1/(3^27)) / (1/(8^14))

Now, we can simplify this expression by multiplying the numerator and denominator by the reciprocal of the denominator:

(1/(3^27)) * (8^14/1)

This can be further simplified by using the property of exponents:

= 8^14 / 3^27

So, the expression with positive exponents equivalent to 3^(-27)/8^(-14) is 8^14 / 3^27.