what's the expression as a single power of 6

6^8/6^4 = ?

5 answers

To simplify the expression (6^8)/(6^4), you need to subtract the exponents since the bases are the same.

(6^8)/(6^4) = 6^(8-4) = 6^4

So, the expression simplifies to 6^4.
which expression is equivalent to (10^2) 7?
The expression (10^2) * 7 is equivalent to 10^(2*7) because when you multiply the same base (10 in this case), you add the exponents.

So, (10^2) * 7 = 10^(2*7) = 10^14
which single power is equivalent to the expression (3^2)^3/3^2
To simplify the expression ((3^2)^3)/(3^2), you need to subtract the exponents since the bases are the same.

((3^2)^3)/(3^2) = (3^(2*3))/(3^2) = 3^6/3^2

When dividing with the same base, you subtract the exponents:

3^6/3^2 = 3^(6-2) = 3^4

So, the expression simplifies to 3^4.