What does a power represent?
A power represents repeated multiplication.
What is 2 raised to the power of 5?
2^5 = 2 × 2 × 2 × 2 × 2 = 32
What is (-3) raised to the power of 4?
(-3)^4 = (-3)(-3)(-3)(-3) = 81
What is -3 raised to the power of 4?
-3^4 = - (3)(3)(3)(3) = -81
What is the value of any non-zero integer raised to the power of 0?
A power with an integer base, other than 0, and an exponent 0 is equal to 1.
What is 2 raised to the power of 0?
2^0 = 1
What is (-4) raised to the power of 0?
(-4)^0 = 1
What is -4 raised to the power of 0?
-4^0 = -1
What is the order of operations for evaluating an expression?
- Evaluate inside brackets.
- Evaluate powers.
- Multiply and divide, in order, from left to right.
- Add and subtract, in order, from left to right.
What is the Product of Powers rule?
a^m × a^n = a^(m+n)
What is the Quotient of Powers rule?
a^m ÷ a^n = a^(m-n)
m=n
What is the Power of a Power rule?
(a^n)^m = a^(mn)
What is the Power of a Product rule?
(ab)^m = a^m b^m
What is the Power of a Quotient rule?
(a/b)^m = a^m / b^m
b ≠ 0
What does a power represent?
A power represents repeated multiplication.
What is 2 raised to the power of 5?
2^5 = 2 × 2 × 2 × 2 × 2 = 32
What is (-3) raised to the power of 4?
(-3)^4 = (-3)(-3)(-3)(-3) = 81
What is -3 raised to the power of 4?
-3^4 = - (3)(3)(3)(3) = -81
What is the value of any non-zero integer raised to the power of 0?
A power with an integer base, other than 0, and an exponent 0 is equal to 1.
What is 2 raised to the power of 0?
2^0 = 1
What is (-4) raised to the power of 0?
(-4)^0 = 1
What is -4 raised to the power of 0?
-4^0 = -1
What is the order of operations for evaluating an expression?
- Evaluate inside brackets.
- Evaluate powers.
- Multiply and divide, in order, from left to right.
- Add and subtract, in order, from left to right.
What is the Product of Powers rule?
a^m × a^n = a^(m+n)
