Question

For each statement, choose true or false.
(9^-⁷)⁰ = 1
5¹¹/5^-⁷ = 5¹⁸
6³ • 6⁵ = 6¹⁵

Answer 1

Can you further explain the answer to me

Answer 2

Apply the zero power rule to create an equivalent expression to
(-40)⁰ + 1/2 (11-32⁰)

(-40)⁰ + 1/2 (11-32⁰) = □ + 1/2 (□-□)

Answer 3

True
True
False

Answer 4

Sure!

For the first statement, (9^-7)^0 = 1. Any number (except 0) raised to the power of 0 is always equal to 1. So the statement is true.

For the second statement, 5^11/5^-7 = 5^(11 + 7) = 5^18. This is because when we divide numbers with the same base, we subtract the exponents. So the statement is true.

For the third statement, 6^3 • 6^5 is equal to 6^(3 + 5) = 6^8. This is because when we multiply numbers with the same base, we add the exponents. So the statement is false, as it should be 6^8, not 6^15.

Answer 5

(-40)^0 means any non-zero number raised to the power of 0 is equal to 1. Therefore, (-40)^0 is equal to 1.

Plugging this into the expression, we get:

(-40)^0 + 1/2 (11-3^2) = 1 + 1/2 (11-1)

So, the equivalent expression is:
1 + 1/2 (11-1)