2^4
−8^2
2^-3
(−4)^2
2^3⋅3^2
(4/5)^2
(2/3)^3
Match the exponent form to the correct standard form.(7 points)
8/27
72
1/8
-64
16
16/25
8
8/10
6/9
7776
2^4 = 16
−8^2 = -64
2^-3 = 1/8
(−4)^2 = 16
2^3⋅3^2 = 72
(4/5)^2 = 16/25
(2/3)^3 = 8/27
Which exponent rule(s) would be used to simplify this expression? 2x^5⋅12x^−4 (1 point)
The product exponent rule to add 5 + -4 to get an exponent of 1 on the x. You would also multiply 2 x 12 since they are coefficients.
The negative exponent rule to get 5 - (-4) = 9 for the power of x and then multiply 2 x 12 = 24 for the coefficient.
The power to power rule since you have two different exponents on the x, so the new exponent would be -20. Also, you would add 2 and 12 using the product rule for exponents.
The quotient rule to subtract 2 - 12 = -10. You would also subtract the exponents to get 5 - 4 = 1 for the power of x.
The product exponent rule to add 5 + -4 to get an exponent of 1 on the x. You would also multiply 2 x 12 since they are coefficients.
These students were asked to simplify: 2 ⋅ 3^-4/5^-2
Adam wrote: 2 ⋅ 5^2/3^4
Nick wrote: 5^2/2 ⋅ 3^4
Shane wrote: 2 ⋅ 3^4/5^2
(1 point)
Shane is correct because all that needs to be done is to make the negative exponents positive.
Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.
Adam is correct because the negative exponent moves the base to the other side of the fraction bar and makes the exponent positive.
None of these are correct because the students did not add the exponents in the numerator and then subtract exponents since there is division.