3 and 2 are the ansewers i tink
Answer: x⁴y²⁰
Step-by-step explanation: Distribute the exponent ⁴ over the parentheses
(x y⁴)⁴ becomes x⁴y¹⁶ (multiply exponents)
then take the 4th root of y¹⁶ (divide the exponent of the radicand by the index) ⁴√y¹⁶ becomes y⁴
Then multiply the factors. Add exponents
x⁴y¹⁶ * y⁴ becomes x⁴y²⁰
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
••••••••••••••••••••••••••••••••
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
••••••••••••••••••••••••••••••••
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
••••••••••••••••••••••••••••••••
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
1 - 51
2 - 129
3 - 51
5 - 90
