Exponents

Question 1

If you see X = X^2… the answer is either

Answer 1

1 or 0

Question 2

negative bases raised by an even number…

negative bases raised by an odd..

Answer 2

Positive answer

Negative answer

Question 3

Is this correct and why?
-X^N = (-x)^n

Answer 3

PEMDAS dictates the exponent is applied to X only on the left and then the answer is made negative

On the right, the exponent is distributed to both X and -1, then you take the product of that

Question 4

Fractional bases or decimals when raised to any power…

Answer 4

Will become closer to zero

Question 5

If exponent is larger you can do what with a fraction…

Answer 5

Distribute to the numerator and denominator separately

Question 6

If exponent is applied to a large term or a variable plus coefficient…

Answer 6

You can take the factors of the term and then distribute exponent to each of them

Question 7

When simplifying terms an expression with a common base you can…

Answer 7

Factor out a common term

Question 8

What is the immediate short cut you can do with…
XZ^7 + XZ^7 + XZ^7 + XZ^7 =

Answer 8

1. observe identical terms
2. count number of them
3. Multiply one of those terms by the number you counted…

XZ^7 (4)

Question 9

For ANY even exponent what is hidden?

Exp. X^2 = 9

Answer 9

The sign of the base

Could be +3 or -3… meaning there are 2 roots aka solutions

Question 10

Solve W

(4 ^w) ^3 = 32 ^ W -1

Answer 10

Must rewrite by factoring to ensure either the same exponent or base remains for efficiency

(2 ^ 2W) ^ 3 = 2 ^ 5(w - 1)

Then you can drop the base!!

6w = 5w-5