1. x^9/x^2
a.x^11
b.x^7
c.7
d.x^5
2. h^14/h^5
a.h^-9
b.1/h^9
c.h^19
d.h^9
3. 4^4/4^6
a.-16
b.16
c.1/16
d.-1/16
4. 5^0
a.0
b.5
c.1
d.-5
6.-2r(8r+5)
a.-16r^2+5
b.-16r^2+10
c.-16r^2+10r
d.-16r^2-10
7.2a(a^2+4a)
a.2a^2+6a^2
b.2a^3+8a^2
c.2a+6a
d.2a^3+6a^2
8.(3y)(3y-2)
a. 9y^2-6
b. 9Y^2+5y
c. 9y^2+1
d. 9y^2-6y
What are your answers?
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When multiplying/dividing, exponents are added/subtracted respectively.
1.a
2.c
3.b
4.b
those r my first 4 answers
1. disagree, when dividing, exponents are subtracted.
2. disagree, when dividing, exponents are subtracted.
3. disagree, what is 4^-2?
4. disagree, anything to the Zero power = 1.
1. To simplify the expression x^9/x^2, you can subtract the exponents since the base (x) is the same. So, x^9/x^2 can be rewritten as x^(9-2) which simplifies to x^7. Therefore, the answer is b. x^7.
2. Similar to the previous question, to simplify the expression h^14/h^5, you subtract the exponents since the base (h) is the same. So, h^14/h^5 can be rewritten as h^(14-5) which simplifies to h^9. Therefore, the answer is d. h^9.
3. In this case, to simplify the expression 4^4/4^6, you can also subtract the exponents since the base (4) is the same. So, 4^4/4^6 can be rewritten as 4^(4-6) which simplifies to 4^(-2). Now, when a number is raised to a negative exponent, it means the reciprocal of that number raised to the positive exponent. Therefore, 4^(-2) is equivalent to 1/4^2, which simplifies to 1/16. Therefore, the answer is c. 1/16.
4. Any number (except 0) raised to the power of 0 is equal to 1. So, 5^0 equals 1. Therefore, the answer is c. 1.
5. To simplify the expression -2r(8r+5), you need to distribute the -2r to both terms inside the parentheses. So, you get -2r * 8r + -2r * 5, which simplifies to -16r^2 + -10r. Therefore, the answer is a. -16r^2 + 5.
6. In the expression 2a(a^2+4a), you need to use the distributive property. Multiply 2a by both terms inside the parentheses. So, you get 2a * a^2 + 2a * 4a, which simplifies to 2a^3 + 8a^2. Therefore, the answer is b. 2a^3 + 8a^2.
7. To simplify (3y)(3y-2), you need to use the distributive property. Multiply 3y by both terms inside the parentheses. So, you get 3y * 3y + 3y * -2, which simplifies to 9y^2 - 6y. Therefore, the answer is d. 9y^2 - 6y.