Question

I'll probably the property of negative integer exponents to generate an expression equivalent to 2 ^ -13/5 ^ -12 with positive exponents only

Answer 1

To convert the expression 2^(-13/5) / 5^(-12) with negative exponents to an expression with positive exponents, we can use the property that any number raised to a negative exponent is equal to the reciprocal of that number raised to the positive exponent.

First, let's rewrite the expression using the property:

2^(-13/5) / 5^(-12) = 1 / (2^(13/5) * 5^(12))

Now we can rewrite the expression with positive exponents by taking the reciprocal of each base and changing the sign of the exponent:

1 / (2^(13/5) * 5^(12)) = (1 / 2^(13/5)) * (1 / 5^(12))

So the expression with positive exponents only equivalent to 2 ^ -13/5 ^ -12 is (1 / 2^(13/5)) * (1 / 5^(12)).