Simplify to a single power of 6:
start fraction, 6, to the power 4 , divided by, 6, cubed, end fraction
6
3
6
4
To simplify the expression, we can apply the rule of exponents that states "when dividing two powers with the same base, subtract the exponents".
So, we have:
$\frac{6^4}{6^3}$
Using the rule of exponents, we subtract the exponents:
$6^{4-3}$
Simplifying the exponent, we get:
$6^1$
Therefore, the simplified expression is:
$6^1$
To simplify the expression (6^4)/(6^3), you can subtract the exponents since the bases are the same.
(6^4)/(6^3) = 6^(4-3) = 6^1
Therefore, the simplified expression is 6^1, which is equal to 6.
To simplify the expression (6^4) / (6^3) to a single power of 6, we can apply the rules of exponentiation. When we divide two powers with the same base, we subtract the exponents.
In this case, we have 6^4 divided by 6^3, which can be rewritten as (6^4) / (6^3) = 6^(4-3) = 6^1.
Therefore, the simplified expression is 6^1, which is equal to 6.