Power Rule of Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
What exponent would make the two expressions equivalent: (16x)6=(1618)?(1 point)
The exponent that would make the two expressions equivalent is 6.
To determine the exponent that would make the two expressions equivalent, we need to apply the power rule of exponents.
The power rule states that when raising a power to another power, you need to multiply the exponents.
In this case, we have (16x)6 and (1618). To make these two expressions equivalent, we need to find the exponent that satisfies the power rule.
Looking at (16x)6, we can see that the base is 16x and the exponent is 6. To apply the power rule, we multiply the exponent of 6 with the exponent of the base, which is 1.
So, the exponent that makes (16x)6 equivalent to (1618) is 6*(1) = 6.