answer:
To simplify the expression k^6 x k^10 / (k^4)^2, we can apply the exponent laws.
First, let's simplify the numerator, k^6 x k^10:
When multiplying with the same base, we add the exponents:
k^6 x k^10 = k^(6+10) = k^16
Now, let's simplify the denominator, (k^4)^2:
When raising a power to another power, we multiply the exponents:
(k^4)^2 = k^(4*2) = k^8
Finally, let's simplify the expression by dividing the numerator by the denominator:
k^16 / k^8
When dividing with the same base, we subtract the exponents:
k^16 / k^8 = k^(16-8) = k^8
So, the simplified form of the expression k^6 x k^10 / (k^4)^2 is k^8.
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