Which of the following is the simplest form of (3y^2 + 6y – 7) - (y + 3)?
2 points
a. 3y^2 + 3y – 4
b. 3y^2 + 5y – 10
c. 11y – 9
d. 11y + 9
Write the product of 5^2 x 5^4 as a single power.
2 points
a. 10^6
b. 5^6
c. 25^6
d. 5^8
Which of the following is the equivalent of x^-3.
2 points
a. 1/x^-3
b. x^3
c. 3/x
d. 1/x^3
Write the quotient of 6^8 / 6^4 as a single power.
2 points
a. 6^4
b. 2
c. 6^2
d. 6^1
Raising Power to a Power Law states; keep the same base and _________ the exponents.
2 points
a. Multiply
b. Add
c. Divide
d. Subtract

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Fleveralviz Fleveralviz · Answer 1

Answer:

1. B

2. B

3. D

4. A

5. A

Step-by-step explanation:

1. (3y^2 + 6y - 7) - (y + 3⁰

3y^2 + 6y - 7 - (y + 3)

3y^2 + 6y - 7 - y - 3

3y^2 + (6 - 1) y + (-7 -3)

3y^2 + 5y + (-7 -3)

2. Multiply 5^2 by 5^4 by adding the exponents

3. Move x^-3 to the denominator in x^-3 using the negative exponent rule-- b^-n = 1/b^n

4. Convert to radical form using the formula a^x/n

5. When an exponent is being raised by another exponent, we just multiply the powers of the exponents and keep the base the same.