3/2 (7−15^0) + 9⋅6^0. use the zero power rule of integer exponents.

Answer 1

To apply the zero power rule of integer exponents, we need to remember that any number (except 0) raised to the power of zero is equal to 1.

Let's start by evaluating 15^0. Using the zero power rule, we know that 15^0 = 1.

Now we can plug in this value into our expression:

3/2 (7 - 1) + 9 * 6^0

Simplifying inside the parentheses first:

3/2 * 6 + 9 * 6^0

Next, we can evaluate 6^0 using the zero power rule:

3/2 * 6 + 9 * 1

Now we can simplify the expression:

3 * 6/2 + 9

18/2 + 9

9 + 9

= 18.

So, 3/2 (7 - 15^0) + 9 * 6^0 equals 18.