11 to the power of 45 divided by 11 to the power of 12

9 answers

When you divide two numbers with the same base, you subtract the exponents.

In this case, 11 is the base, so the division can be written as:

11^45 ÷ 11^12 = 11^(45 - 12)

The exponent 45 - 12 is equal to 33.

Therefore, 11^45 ÷ 11^12 = 11^33
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8.(-26)to the power of 0+5/2(6-18) to the power of 0=
Let's break down the expression step by step:

First, let's simplify within the parentheses:

6 - 18 = -12

Next, let's simplify the exponents:

(-26)^0 = 1 (Any number raised to the power of 0 is equal to 1.)

(6-18)^0 = (-12)^0 = 1 (Same explanation as above.)

Now, substitute the simplified values:

8.(-26)^0 + 5/2(6-18)^0 = 8(1) + 5/2(1)

8(1) is equal to 8, and 5/2(1) is equal to 5/2.

So, the final result is:

8 + 5/2 = 16/2 + 5/2 = 21/2 or 10.5
zero power rule of 8x(-26) to the power of 0+5/2(6-18) to the power of 0=
In mathematics, the "zero power rule" states that any non-zero base raised to the power of 0 is equal to 1.

Applying this rule to your expression, we have:

8x(-26)^0 + 5/2(6-18)^0

Since (-26)^0 and (6-18)^0 are both raised to the power of 0, they are equal to 1.

Therefore, the expression simplifies to:

8x1 + 5/2(1)

This further simplifies to:

8 + 5/2

To add the fractions, we need to find a common denominator, which is 2:

(8 x 2)/2 + 5/2 = 16/2 + 5/2

Adding the fractions, we get:

16/2 + 5/2 = 21/2

So, the final result is 21/2 or 10.5.
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