$$8 \times 4096 + 81 \times 4096 = 360448$$

Question 1

Simplify the expression:

$$\$$left(2b^4$$\$$right)^3$$ + \$$left(-3b^3$$\$$right)^4$$

Which of the following is the correct simplification?

Accepted Answer

$$8b^{12}$$ + $$81b^{12}$$

Question 2

Which property of exponents is used to simplify $$\$$left(2b^4$$\$$right)^3$$?

Accepted Answer

Power of a product: $$\left(ab\right)^n = a^n b^n$$

Question 3

What is the value of $$\$$left(-3b^3$$\$$right)^4$$?

Accepted Answer

$$81b^{12}$$

Question 4

If $$b = 2$$, what is the value of $$\$$left(2b^4$$\$$right)^3$$ + \$$left(-3b^3$$\$$right)^4$$?

Accepted Answer

$$8 	imes 4096 + 81 	imes 4096 = 360448$$

Question 5

Which of the following best describes the degree of the simplified expression $$8b^{12}$$ + $$81b^{12}$$?

Accepted Answer

The degree is 12

Question 6

What is the coefficient of $$b^{12} in $$the simplified expression?

Accepted Answer

$$89$$

Question 7

Which step is NOT necessary when simplifying $$\$$left(2b^4$$\$$right)^3$$?

Accepted Answer

Adding the exponents: $$4 + 3 = 7$$

Question 8

Which of the following is equivalent to $$\$$left(2b^4$$\$$right)^3$$?

Accepted Answer

$$8b^{12}$$

Question 9

If $$b = -1$$, what is the value of $$\$$left(2b^4$$\$$right)^3$$ + \$$left(-3b^3$$\$$right)^4$$?

Accepted Answer

$$8 + 81 = 89$$

Question 10

Which of the following is the correct application of the power of a power property to $$\$$left(b^4$$\$$right)^3$$?

Accepted Answer

$$b^{12}$$

Simplifying Algebraic Expressions with Exponents

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