Exponents and Negatives

What is the value of (-5)³?

• -125  

• 125  

• -15  

• 15  

Answer explanation

Since the exponent is an odd number, raising -5 to the power of 3 will result in a negative number. In this case, (-5)³ means multiplying -5 by itself three times: (-5) × (-5) × (-5) = -125.

What is the value of -7²?

• 49 

• -49

• 7

• -7

Answer explanation

You can rewrite the expression -7² as (-1) × (7 × 7) = (-1) × (49) = -49. Since the negative is not inside parentheses, it means you square the 7 first and then add the negative sign to the result. So, you do 7 × 7 to get 49, and since there's a negative sign in front, the final answer is -49.

What is the value of (-1)⁶?

• -1  

• 6

• -6

• 1 

Answer explanation

Since the exponent is an even number, raising -1 to the power of 6 will result in a positive number. In this case, (-1)⁶ means multiplying -1 by itself six times: (-1) × (-1) × (-1) × (-1) × (-1) × (-1) = 1.

What is the value of -(0.5)⁴?

• -0.2

• 0.0625 

• -0.0625 

• 0.2

Answer explanation

You can rewrite the expression -(0.5)⁴ as (-1) × (0.5 × 0.5 × 0.5 × 0.5) = (-1) × (0.0625) = -0.0625. Since the negative sign is outside the parentheses, it means you raise 0.5 to the power of 4 first and then add the negative sign to the result. So, you do 0.5 × 0.5 × 0.5 × 0.5 to get 0.0625, and since there's a negative sign in front, the final answer is -0.0625.

What is the value of (-0.1)⁵?

• -0.00001  

• 0.00001  

• -0.0001  

• 0.0001  

Answer explanation

Since the exponent is an odd number and the negative sign is inside the parentheses, raising -0.1 to the power of 5 will result in a negative number. In this case, (-0.1)⁵ means multiplying -0.1 by itself five times: (-0.1) × (-0.1) × (-0.1) × (-0.1) × (-0.1) = -0.00001.

What is the value of -(5/6)²?

• -5/6

• 25/36

• -25/36

• 5/6

Answer explanation

You can rewrite the expression -(5/6)² as (-1) × (5/6 × 5/6) = (-1) × (25/36) = -25/36. Since the negative sign is outside the parentheses, it means you square 5/6 first and then add the negative sign to the result. So, you do (5/6) × (5/6) to get 25/36, and since there's a negative sign in front, the final answer is -25/36.

What is the value of (-1/4)³?

• 1/64 

• -1/12

• 1/12 

• -1/64

Answer explanation

Since the exponent is an odd number and the negative sign is inside the parentheses, raising -1/4 to the power of 3 will result in a negative number. In this case, (-1/4)³ means multiplying -1/4 by itself three times: (-1/4) × (-1/4) × (-1/4) = -1/64.

What is the value of -3(2)⁸?

• -192 

• -768

• -1536

• -3072 

Answer explanation

To solve -3(2)⁸, first, calculate 2 raised to the power of 8: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256. Then, multiply the result by -3: -3 × 256 = -768.

What is the value of -2(-4)⁵?

• 1024

• -1024

• 2048

• -2048

Answer explanation

To solve -2(-4)⁵, first, calculate -4 raised to the power of 5: (-4) × (-4) × (-4) × (-4) × (-4) = -1024. Then, multiply the result by -2: -2 × (-1024) = 2048.

What is the value of -2³(4)?

• -32

• 64 

• -64

• 32

Answer explanation

To solve -2³(4), first, rewrite -2³ as (-1) × (2 × 2 × 2) = (-1) × 8 = -8. Then, multiply the result by 4: (-8) × 4 = -32.