Answer:
a) 81
b) 16,807
c) 100
d) 78125
Step-by-step explanation:
a)
3^2 x 3^2
Step 1. Simplify the exponents
3^2 = 3 x 3 = 9
Step 2. Multiply
9 x 9 = 81
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b)
7 x 7^4
Step 1. Simplify the exponent
7^4 = 7 x 7 x 7 x 7 = 2401
Step 2. Multiply
7 x 2401 = 16,807
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c)
10^9 divided by 10^7
Step 1. Simplify the exponents
10^9 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000
10^7 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000
Step 2. Divide
1000000000 divided by 10000000 = 100
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d)
5^8 divided by 5
Step 1. Simplify the exponent
5^8 = 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390625
Step 2. Divide
390625 divided by 5 = 78125
Answer:
(-2,-11)
Step-by-step explanation:
3x-2(4x-3)=16
3x-8x+6=16
-5x=10
x=-2
Plug back in
y=4(-2)-3
y=-8-3
y=-11
Answer:
4^2
Step-by-step explanation:
Answer:
n = 5
Step-by-step explanation:
1) Use power rule: 
.
2) Cancel the base of z on both sides.
2n = 10
3) Divide both sides by 2.
4) Simplify 
to 5.
n = 5
Yes, they are. Counting numbers, whole numbers, and integers are a subset of rational numbers.
