Question

I need help solving these

Answer 1

1. 1. Vocabulary What does the exponent in the expression
`5^(6)` tell you?

Answer: it means that
`5` is multiplied by itself
`6` times:
`5^(6) =5*5*5*5*5*5=15625`

1. 2.
`4*4=4^(2)=16`

The power is
`2` or square, notice how the geometric model is made out of dots forming a flat square.

1. 3.
`2*2*2*2=2^(3) =8`

The power is
`3` or cube, notice how the geometric model is a cube.

1. 4.
`9*9=9^(2)=81`

The power is
`2` or square, notice how the geometric model is a flat square.

2. 5.
`7^(2) =49`

2. 6.
`(-2)^(4) = -2*-2*-2*-2=4*4=16`

2. 7.
`(-2)^(5) =16*-2=-32`

2. 8.
`-((1)/(2))^(4)=-((1^(4) )/(2^(4)))=-((1)/(16))=-(1)/(6)`

3. 9.
`81=9^(x), (81)/(9) = 9,9*9=9^(2)`

3. 10.
`100000=10^(x) , (100000)/(10) =10000, (10000)/(10)=1000, (1000)/(10)=100, (100)/(10)=10,`

`10*10*10*10*10=10^(5)`

3. 11.
`-64 = -4^(x), (-64)/(-4)=16, (16)/(-4)=-4, -4*-4*-4=-4^(3)`

3. 12.
`10 = 10^(x), (10)/(10)=1, 10*1=10 =10^(1)`

3. 13.
`81 =3^(x), (81)/(3)= 27,(27)/(3)=9, (9)/(3)=3, 3*3*3*3=3^(4)`

3. 14.
`36=-6^(x) , (36)/(-6)= -6, -6*-6=(-6)^(2)`

4. 15. Technology First week =>
`3` hits, every week => the number of hits triples, means
`3^(3)`, 5th week => hits every week * 5 =
`3^(3)*5=27*5=135` hits.

I apologize if there's any misspelling or wrong answer.