Apply the zero power rule to create an equivalent expression to 4/3(-2+1⁰)

3 answers

To apply the zero power rule, we need to simplify any exponents that equal 0. In this case, the exponent 1⁰ equals 1 raised to the power of 0, which is always 1.

Therefore, the expression 4/3(-2+1⁰) is equivalent to 4/3(-2+1).
Solve the expressions 2(1.6⁰+7)-4.9⁰.
To solve the expression 2(1.6⁰+7)-4.9⁰, let's simplify each part separately.

First, the exponent 1.6⁰ equals 1.6 raised to the power of 0, which is always 1. Therefore, 1.6⁰ = 1.

Now we can simplify the expression: 2(1.6⁰+7)-4.9⁰ becomes 2(1+7)-4.9⁰.

Next, we need to compute the values inside the parentheses. 1+7 equals 8.

Therefore, the expression becomes 2(8)-4.9⁰.

We still have the exponent 4.9⁰ to simplify. Any number raised to the power of 0 is always 1. Therefore, 4.9⁰ = 1.

Now our expression is 2(8)-1.

Multiplying 2 by 8, we get 16.

Therefore, the final solution to the expression 2(1.6⁰+7)-4.9⁰ is 16 - 1, which equals 15.