Question : Multiply the expression using the product rule : 2152215

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Multiply the expression using the product rule.

1) y¹¹⋅y¹⁰

A) y¹¹⁰

B) y²¹

C) 2y²¹

D) 2y¹¹⁰

2) y⋅y¹⁰

A) 2y¹¹

B) y¹¹

C) 2y¹⁰

D) y¹⁰

3) 9⁷⋅9⁸

A) 9⁵⁶

B) 81¹⁵

C) 81⁵⁶

D) 9¹⁵

4) x⁴⋅x⁴⋅x⁶

A) x¹⁰

B) x¹⁴

C) x²²

D) x⁸

Simplify the expression using the power rule.

5) (5⁴)⁹

A) 5¹³

B) 25³⁶

C) 5³⁶

D) 25⁴

6) (y⁶)⁵

A) 5y⁶

B) y³⁰

C) y¹¹

D) 5y³⁰

7) [(-7⁹)]⁵

A) (-7)⁴⁵

B) (-7)¹⁴

C) (-49)⁴⁵

D) (-49)⁹

Simplify the expression using the products-to-powers rule.

8) (5x)²

A) 10x

B) 10x²

C) 25x

D) 25x²

9) (-2x)³

A) -6x

B) -6x³

C) -8x³

D) -8x

10) (4x⁷)³

A) 4x²¹

B) 64x²¹

C) 4x¹⁰

D) 64x¹⁰

11) (-4x⁷)²

A) 16x¹⁴

B) 16x⁹

C) -16x¹⁴

D) -4x¹⁴

12) (-2x²)³

A) -8x⁶

B) 8x⁶

C) -8x⁵

D) -2x⁶

Multiply the monomials.

13) (9x⁷)(3x⁵)

A) 27x³⁵

B) 27x¹²

C) -27x³⁵

D) -27x¹²

14) (-4x²)(9x⁸)

A) -36x¹⁰

B) 36x¹⁶

C) 36x¹⁰

D) -36x¹⁶

15) (-2x⁵)(2x⁸)

A) 4x⁴⁰

B) -4x⁴⁰

C) 4x¹³

D) -4x¹³

16) (5x⁷)(-8x⁵)

A) -40x³⁵

B) 40x³⁵

C) -40x¹²

D) 40x¹²

17) ((1/4)x⁶)((1/7)x⁹)

A) (1/28)x¹⁵

B) (1/28)x⁵⁴

C) - (1/28)x¹⁵

D) - (1/28)x⁵⁴

18) (- (1/4)x⁴)((1/2)x²)

A) (1/8)x⁶

B) (1/8)x⁸

C) - (1/8)x⁶

D) - (1/8)x⁸

19) ((1/3)x³)(-(1/3)x⁶)

A) - (1/9)x¹⁸

B) (1/9)x¹⁸

C) (1/9)x⁹

D) - (1/9)x⁹

20) (- (1/8)x⁹)(-(1/9)x⁴)

A) (1/72)x¹³

B) (1/72)x³⁶

C) - (1/72)x³⁶

D) - (1/72)x¹³