Question

I need help so baddddd

Answer 1

a) 81

b) 2401

c) 100

d) 78125

Explanation:

a)
`3^(2)` x
`3^(2)` =
`3^(4)` When the bases are the same and you are multiplying powers, you add the exponents.

`3^(4)` means 3x3x3x3 or 81

b) 7 x
`7^(4)` =
`7^(5)` When the bases are the same and you are multiplying powers, you add the exponents. When you do not see an exponent like the number 7, the exponent is 1.

7 =
`7^(1)`

`7^(4)` means 7x7x7x7x or 2401

c)
`(10^(9) )/(10^(7) )` =
`10^(2)` When the bases are the same and you are dividing, you subtract the exponents.

`10^(2)` means 10x10 = 100

d)
`(5^(8) )/(5)`=
`5^(7)` When the bases are the same and you are dividing, you subtract the exponents.

`5^(7)` means 5x5x5x5x5x5x5 =

Answer 2

a)
`\sf 3^4`

b)
`\sf 7^5`

c)
`\sf 10^2`

d)
`\sf 5^7`

Explanation:

a) → → →

`\sf 3^2 * 3^2` (Apply exponent rule)

`\sf 3^(2+2)` ( Add numbers)

`\bf 3^4`

b) → → →

`\sf 7 * 7^ 4` (Apply exponent rule)

`\sf 7^(1+4)` (Add numbers)

`\bf 7^5`

c) → → →

`\sf 10^9 /10^7` (Apply exponent rule)

`\sf 10^(9-7)` (Add numbers)

`\bf 10^2`

d) → → →

`\sf 5^8 / 5` (Apply exponent rule)

`\sf 5^(8-1)` (Add numbers)

`\bf 5^7`

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Hope this helps!

Have a great day!