Question

question belowwwwww .-.

Answer 1

last one

Answer 2

so we see \(\sf\Large\frac{1}{8}\) on the right hand side

that means we need to have a negative exponents for it to become a fraction, right?

Answer 3

.. idk tbh .-.

Answer 4

remember this rule?

\(\bf \Huge a^{-b} = \frac{1}{a^b}\)

Answer 5

yes even tho i dont really get it

Answer 6

ok, first let's understand the rule better :)

Answer 7

xD ok

Answer 8

That's a rule to be learned and remembered. Understanding will come later.

Answer 9

i have to understand it to truly learn it tho @mathmale

Answer 10

For example, \(\bf\Huge 5^{2} = 5 \times 5\)

But, that's positive exponents.

When we have negative exponents, we merely flip it.

So \(\bf\Huge 5^{-2} = \frac{1}{5^2} = \frac{1}{5\times 5}\)

Answer 11

okayy ... so what do i need to do xD

Answer 12

So, now for your question. :)

Let's first find out how many times we need to multiply 2 to get 8

So \(\sf \Large 2^x = 8\)

What is x = ?

Answer 13

4

Answer 14

no x is not 4

Answer 15

2^4=2*2*2*2=16 actually

Answer 16

im so confused now ;-;

Answer 17

Melody, keep in mind that we're discussing EXPONENTIATION.

Answer 18

im not good at this ;-;

Answer 19

If 2^x = 8, our job is to find the unknown exponent, x.

Answer 20

idk how

Answer 21

One way of solving for the exponent x would be to re-write 8 as 2^3. This states that the cube of 2 results in 8. Note that 2*2*2 = 8. OK with that?

Answer 22

..... hang on

Answer 23

if \(\bf\Large 2^3 = 8\)

What do you think \(\bf\Large 2^{-3} =?\) @melody1590

Answer 24

that's a good question, @TheSmartOne , but please let me finish my discussion with Melody.

We are given 2^x = 8 and are asked to find the exponent x.

Answer 25

But note that 8 can be re-written as 2^3, or as 2*2*2.

thus 2^x = 2^3

Since the bases are the same, we can omit them, which leaves x=3. That's it.

Answer 26

I need to log off for the time being. good luck to you.

Answer 27

Its b