What exponent would make the two expressions equivalent: (16x)6=(1618) ?(1 point)
The exponent that would make the two expressions equivalent is 6.
What exponent would make the two expressions equivalent: (16^x)^6=(16^18) ?
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 set the exponents equal to each other.
In the first expression, (16x)^6, the exponent is 6.
In the second expression, (16^18), we can rewrite it as (2^4)^18.
To find the equivalent exponent, we can multiply the exponents together:
6 * 18 = 108.
Therefore, an exponent of 108 would make the two expressions equivalent.
To find the exponent that would make the two expressions equivalent, you need to set the bases equal to each other and solve for the exponent.
In this case, the base is 16x in the first expression and 16 in the second expression. Setting the bases equal to each other, we get:
16x = 16
To isolate the exponent, divide both sides of the equation by 16:
16x/16 = 16/16
x = 1
Therefore, the exponent that would make the two expressions equivalent is 1.