Question

Pls help i need to show my work fir these problems

Answer 1

ok so for the first one I'm im taking a guess I think it's the first one.

the second one plot the point on the line between 14 and 15

I think those should be correct I think

Answer 2

Handling Exponents:

Generally when handling exponents it is necessary to follow the different Law of Exponents

1. Product rule

• when multiplying exponents with the same base the exponents are added

2. Quotient rule

• when dividing exponents with the same base the exponents are subtracted

3. Power to Power rule

• when raising an exponent to another exponent you must multiply them

4. Negative exponent rule

• when an exponent is raised to a negative power the base is moved to the denominator and the sign of the exponent changes

5. Zero power rule

• any number raised to the power of 0 = 1

In this context we are finding what is equivalent to 6^8 x 6^(-4)

• using the product rule, the base is 6 in both cases so we add the exponents: 8 + (-4) = 4
• now we find what is equivalent to 6^4

`6^(8-4)=6^4` - this is equivalent

`(6^8)^-4=6^-^3^2` - not equivalent

`6^2` - not equivalent

`6^-^2=(1)/(6^2)` - not equivalent

`6^-^3^2=(1)/(6^3^2)` - not equivalent

`(6^8)/(6^4)= 6^(^8^-^4^)=6^4` - this is equivalent

The first and last options are equivalent to 6^8 x 6^(-4)