Algebra: practice with exponents

Questions 1) Find x, the value of these powers: d) 10 e) 1000 = x . – 3 c) 8 = x – 1 a) 5 b) 7² = x = x – 2 = x 2) Find c, the base of these powers : e) c . −2 = 1 100 d) c−3 = 1 125 c) c 0 a) c b) c² = 144 = 1 −2 = 1 36 3) Find x, the exponent of these powers : e) 4x = . 12 d) 10x = 1 1000 c) 9x = 1 729 b) 8 x a) 3x = = 512 19 4) Rewrite these terms replacing the radical sign with a fractional exponent, then simplify. j) 3 −x6 y3 z27 i) 3 −8 125 h) 5 −x10 32 g) 4 a4 16 f) 3 −1 8 e) 3 d) −8x6 3 b) 3 27y3 c) 64x6 8x3 a) 16x4 Practice with ExponentsSolutions 1) Find x, the value of these powers: d) 10 e) 1000 = 1 . – 3 c) 8 = 1/1000 – 1 a) 5 b) 7² = 49 = 1/8 – 2 = 1/5² = 1/25 2) Find c, the base of these powers : e) c . −2 = 1 100 c = 10 d) c−3 = 1 125 c = 5 c) c 0 = 1 c = any number b) c² = 144 c = 12 a) c−2 = 1 36 c = 6 3) Find x, the exponent of these powers : e) 4x = . 12 x = – ½ d) 10x = 1 1000 x = – 3 c) 9x = 1 729 x = 3 b) 8 x = 512 x = 3 a) 3x = 19 x = – 2 Practice with Exponents4) Rewrite these terms replacing the radical sign with a fractional exponent, then simplify. j) − x6 y 3 z27 1/3 = − x2 y z 9 i) −8 125 1/3 = −2 5 h) − x10 32 1/5 = − x5 2 g) a4 16 1/4 = a2 f) −1 8 1/3 = − 12 d) (8x³) e) (– 8x 6)1/3 = – 2x². 1/3 c) (64x = 2x. 6)1/2 b) (27y = 8x³ 3)1/3 a) (16x = 3y 4)1/2 = 4x² ( Algebra MathRoom Index ) Practice with Exponents