8^2/8^-4
Rewrite using a single positive exponent
8^2/8^-4 = (8^2)(8^4) = 8^(2+4) = 8^6
To rewrite the expression 8^2/8^-4 with a single positive exponent, we can apply the rule that states when dividing two numbers with the same base, we subtract the exponents.
So, 8^2/8^-4 can be rewritten as 8^(2 - (-4)).
Simplifying the expression inside the parentheses, we have 8^(2 + 4).
Adding the exponents, we get 8^6.
Therefore, 8^2/8^-4 is equivalent to 8^6.
To rewrite the expression 8^2/8^-4 using a single positive exponent, we can use the rule of exponents which states that when dividing two terms with the same base, we subtract the exponents.
In this case, we have 8^2 divided by 8^-4. To simplify this expression, we subtract the exponent of the denominator from the exponent of the numerator:
8^2 / 8^-4 = 8^(2 - (-4))
Simplifying the exponent, we have:
= 8^2 / 8^4
Now, according to the same exponent rule, when dividing two terms with the same base, we subtract the exponents:
= 8^(2 - 4)
= 8^(-2)
So, the rewritten expression using a single positive exponent is 8^(-2).