Practice with Exponents

Questions

1) Find x, the value of these powers:

 a) 5– 2 = x b) 7² = x c) 8 – 1 = x d) 10 – 3 = x e) 1000 = x .

2) Find c, the base of these powers :

 a) b) c² = 144 c) c 0 = 1 d) e) .

3) Find x, the exponent of these powers :

 a) b) 8 x = 512 c) d) e) .

4) Rewrite these terms replacing the radical sign with a fractional exponent, then simplify.

 a) b) c) d) e) f) g) h) i) j)

Solutions

1) Find x, the value of these powers:

 a) 5– 2 = 1/5² = 1/ 25 b) 7² = 49 c) 8 – 1 = 1/ 8 d) 10 – 3 = 1/1000 e) 1000 = 1 .

2) Find c, the base of these powers :

 a) c = 6 b) c² = 144c = 12 c) c 0 = 1c = any number d) c = 5 e) .c = 10

3) Find x, the exponent of these powers :

 a) x = – 2 b) 8 x = 512x = 3 c) x = – 3 d) x = – 3 e) . x = – ½

4) Rewrite these terms replacing the radical sign with a fractional exponent, then simplify.

 a) (16x 4)1/ 2 = 4x² b) (27y 3)1/ 3 = 3y c) (64x 6)1/ 2 = 8x³ d) (8x³)1/ 3 = 2x. e) (– 8x 6)1/ 3 = – 2x². f) g) h) i) j)

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