Question

Simplify the following expression. 4a-2b

Answer 1

It is already simplified since the terms are unlike and can't be combined.
It can be factored, though, into 2(2a - b)

Answer 2

thank you

Answer 3

wlcm

Answer 4

can you also help me out with this one Evaluate the following expression.

(81)0

Answer 5

81 times zero?

Answer 6

If so, remember that any number times zero equals zero, so
(81)0 = 0

Answer 7

sorry (8^1)^0

Answer 8

Ok.
8 to the 1 power, then raised to the zero power?

Answer 9

yes

Answer 10

You can do this two ways:
1. First raise 8 to the 1 power.
What is 8^1?

Answer 11

so does it just equal 8?

Answer 12

Yes. Any number raised to the 1 power is just the number.
So (8^1)^0 = 8^0
Now what is a number raised to the zero power?

Answer 13

1?

Answer 14

Correct. The only exception is 0 because 0^0 is undefined, but any number, other than zero, raised to the zero power equals 1.
So, we can continue:
(8^1)^0 = 8^0 = 1

Answer 15

That's the first way of solving this.

Answer 16

The second way is using a rule of powers.

Answer 17

When you raise an power to a power, you multiply the powers.

Answer 18

The rule is (a^m)^n = a^(mn)
For example, (2^3)^5 = 2^15 (multiply exponents 3 and 5 together)

Answer 19

We can solve your problem with this rule:
(8^1)^0 = 8^0 (since exponent 1 times exponent 0 = 0)
Now we deal with 8^0 as a non-zero number raised tot eh zero poer:
8^0 = 1

Answer 20

thanks so much! making it sound easier thank you!

Answer 21

wlcm