Question

Need help with properties of exponents

Answer 1

How do you simplify 72 × 76?

If you recall the way exponents are defined, you know that this means:

(7 × 7) × (7 × 7 × 7 × 7 × 7 × 7)

If we remove the parentheses, we have the product of eight 7s, which can be written more simply as:

78

This suggests a shortcut: all we need to do is add the exponents!

72 × 76 = 7(2 + 6) = 78

In general, for all real numbers a, b, and c,

ab × ac = a(b + c)

To multiply two powers having the same base, add the exponents.

If you remember only this one and forget the rest, you can use it to figure out most of the other properties.

Answer 2

does this help?

Answer 3

that was a lot to take in lol but can you help me with this one real quick so i can go back and reference to this one?

Answer 4

sure what is it?

Answer 5

?

Answer 6

which one???

Answer 7

omg sorry its 6x^7y^5 over 3x^-1