Question

Simplify;
26 ⋅ 26^8

Please also explain how you got the answer.

Answer 1

26 ⋅ 26^8

Multiply by adding the exponents:

Raise 26 to the power of 1 to get:

26^1 * 26^8

Now when you multiply the same number raised to different powers, you add the powers together:

26^1 * 26^8 = 26^(8+1) = 26^9

So 26 * 26^8 simplifies is 26^9

Answer 2

The number expression 26 ⋅ 26⁸ can be written as 26⁹ after using the property of the integer exponent.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have:

A number expression:

= 26x26⁸

As we know from the property of the integer exponent:

$\rm (h)^a(h)^b = h^{a+b}$

h is the base and a, b are the exponent.

As the same base can be written as the sum of the power

In the given number expression there is the same base as 26

Exponent can be added, after adding the powers:

= 26¹⁺⁸

= 26⁹

Thus, the number expression 26 ⋅ 26⁸ can be written as 26⁹ after using the property of the integer exponent.

Learn more about the integer exponent here:

brainly.com/question/4533599

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