Question

apply the property of negative integer exponents to generate an expression equivalent to 7-^3 • 7-^5 with positive exponents only

Answer 1

To apply the property of negative integer exponents and write the expression with positive exponents only, you can use the fact that a negative exponent is equivalent to the reciprocal of the positive exponent.

7^-3 • 7^-5

By applying the property of negative integer exponents, we can rewrite the expression as:

1/7^3 • 1/7^5

Now, to convert the negative exponents to positive exponents, we can take the reciprocal of the base and change the sign of the exponent:

1/7^3 = 1/(1/7^3) = 1/(1/343) = 343
1/7^5 = 1/(1/7^5) = 1/(1/16807) = 16807

Therefore, the expression 7^-3 • 7^-5, when written with positive exponents only, is equivalent to:

343 • 16807