1. What is the value of the expression 7^–3?

A.

–21

B.

- 1/343

C.

1/343

D.

343

2. What is the value of the expression 1/3^-5?

A.

243

B.

15

C. 1/15

D. 1/243

3. What is the value of the expression 2/4^-3?

A. 1/32

B. 1/6

C.

128

D.

256

4. What value of k solves the equation?

K^-5 = 1/32

k =?

5. What value of m solves the equation?

2^m = 1/8

m =?

A.

–21

B.

- 1/343

C.

1/343

D.

343

2. What is the value of the expression 1/3^-5?

A.

243

B.

15

C. 1/15

D. 1/243

3. What is the value of the expression 2/4^-3?

A. 1/32

B. 1/6

C.

128

D.

256

4. What value of k solves the equation?

K^-5 = 1/32

k =?

5. What value of m solves the equation?

2^m = 1/8

m =?

1) 7⁻³ = 7 * 7 * 7 = 343 but because the exponent is negative

343/1 becomes **1/343. Letter C. **

2) 1/3 ⁻⁵ = 1/3 * 1/3 * 1/3 * 1/3 * 1/3 = 1*1*1*1*1 / 3*3*3*3*3 = 1/15 since negative exponent ⇒ 1/15 becomes 1 ÷ 1/15. Remember the rules of division. multiply the 1st fraction to the reciprocal of the 2nd fraction.

1 ÷ 1/15 = 1 * 15/1 = **15 Letter B. **3) 2/4 ⁻³ = 2/4 * 2/4 * 2/4 = 2*2*2 / 4*4*4 = 8/64 negative exponent 1 ÷ 8/64

Rules of dividing fractions:

1 ÷ 8/64 ⇒ 1 * 64/8 = 64/8 ⇒ 8 not included in the choices.

4) k ⁻⁵ = 1/32 * this means that 32 must undergo prime factorization to get the base.

**k = 2**⇒ 2⁵ = 32 ; 2⁻⁵ = 1/32

5) 2^m = 1/8 ;

**m = -3**⇒ 2³ = 8 ; 2⁻³ = 1/8

1) is -21 if you multiply -3x7 the answer is -21

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