Exponent Rules
Anything to the power of 0 is ______
1
1780
1
A number to the 1/2 power is the same thing as finding the ___________________ of that number.
square root
n-4
1 / n4
What is the radicand in 3sqrt(81
81
n4 x n5
n9
32 x 32
81
What is 361/2
6
x-1/2
1/sqrtx
What is the index in
4sqrt(144 2
4
Anything to the first power is ____________
itself
121
12
What is 271/3
3
Use the quotient rule to evaluate the following expression: 43/45
1/16
Rewrite the following expression with a fractional exponent.
3 sqrtx 5
x5/3
(n6)3
n18
(22)3
64
sqrt n 3
n3/2
What is
1/x^5 rewritten with a negative exponent?
x-5
Evaluate
4sqrt3 8
32=9
n6/ n2
n4
55 / 53
25
Evaluate 1251/3
5
Evaluate 1/4^-3
1/4^-3 = 4^3
=64
Jennifer says that 5^8/5^2 is the same thing as 54 because 8 divided by 2 is 4, which would be the new exponent according to the quotient rule. Is she right? Why or why not?
Jennifer is wrong. She incorrectly used the quotient rule. According to the quotient rule, you would subtract the exponents, so the new expression would be 56 not 54.