Rules
When you multiply two powers with the same base, you _______ their exponents.
When you multiply two powers with the same base, you _______ their exponents.
23 ×33
63
x2 x x3
x5
(x2)2
x4
51
5
When you multiply two powers with different bases but the same exponent, you multiply the bases and _______ the exponent.
keep
24 ×64
124
55×54
59
(x3)5
x-5
1/x5
Rraising a power to another exponent means you _________ the exponents.
multiply
44×104
404
you get 100 points
you get 100 points
(104)3
1012
y7 / y3
y4
Any number raised to the power of zero equals _______.
x2× x-6
4x4 / 2x2
2x2
you get 300 points
you get 300 points
42×32
122
Any number raised to the power of 1 equals _______.
itself
6x5×5x5
30x5
3x2 × 4x4
12x6
(z3)-4
1 / z12
40
1
When dividing terms with exponents with the same base, we _________ the exponents.
subtract
15x2× 3x2
45x4
4y2× 2y4
8y6
(y4)5
y20
2y2 x 2y-5
4/y3