# Algebra 1: 8th Grade

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Simplify each expression. Write your answers using positive exponents.

1) 2^3*2^4 = 2^7

2)10^6/10^9 = 1/10^3

3)3^5*3^1 = 3^6

4)5^7*5^-4 = 5^3

5)9^3/9^-10 = 9^13

6) 4^11/4^8*4^-2 = 4^5

7) a^2*a^3 = a^5

8)b^-9/b^4 = 1/b^13

9)c^-5*c^-2 = 1/c^7

11)(5d^4)(8d^6) = 40d^10

These ones are the ones that I need help on.

10)a^6/4a^2

12) 7x^5/x^-8

13) p^8q^3/p^6q

14)(5pq^3)(10p^-3q^2)

15)3a^-2b^5/9a^4b^4

• Algebra 1: 8th Grade -

you did fine in the first 11
the others are not any more difficult

10) a^6/4a^2 = a^4/4

12) 7x^5/x^-8 = 7x^13
13) p^8q^3/p^6q = p^2q^2 or (pq)^2
14) (5pq^3)(10p^-3q^2) = p^4q/2
15) 3a^-2b^5/9a^4b^4
you probably meant
3a^-2b^5/(9a^4b^4)
= (a^-6)b/3 or b/(3a^6)

• Algebra 1: 8th Grade -

6) is wrong too (I didn't get any further).

6) 4^11/4^8*4^-2 = 4^5

PEMDAS (Please excuse my dear aunt sally).

Parentheses
exponentiation
multiplication & division (left to right)
addition & subtraction (left to right)

Because multiplication and division have the same precedence (priority), they are performed left to right across the problem.

4^11/4^8*4^-2
(4^11/4^8)*4^-2
4^3 * 4^-2 = 4^1 = 4

• Algebra 1: 8th Grade -

Thats funny...im in 7th grade and im in algebra 1...anyway...why do u need help with this??? its simple exponents and division...

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