Exponents and Powers Class 8 Worksheets

Download Exponents and Powers Class 8 Worksheets

Exponents and Powers Class 8 Worksheets

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Exponents and Powers Class 8 Worksheets

Q.1) Evaluate : 9^{ -1 }+7^{0 }+3^{2 } ?
a) \cfrac{94}{9}
b) \cfrac{9}{91}
c) \cfrac{91}{9}

Q.2) What is the value of n so that 4^{7 }\div 4^{3 }=4^{-2 }\div 4^{ 5 n - 1} ?
a) -4
b) -3
c) -1

Q.3) Evaluate 12^{2 }\times \left(-2 \right) ^{3} and choose the correct option .
a) -1152
b) -1172
c) -1144

Q.4) Evaluate : \left( 1\cfrac {1 }{4 } \right) ^{ - 1 }
a) \cfrac {5}{4}
b) – \cfrac {4}{5}
c) \cfrac {4}{5}

Q.5) Evaluate : \left( \cfrac {1 }{3 } \right) ^{0 } +\left( \cfrac {1 }{7 } \right) ^{-1 }+\left( \cfrac {1 }{3 } \right) ^{-2 }
a) 20
b) 14
c) 17

Q.6) Evaluate\left( \sqrt {70 } -\sqrt {6 } \right) ^{ \cfrac {4 }{3 } } \left( \sqrt { 70 }+\sqrt {6 } \right) ^{ \cfrac {4 }{3 } }
a) 256
b) 259
c) 261

Q.7) Evaluate : 11^{8} x 11^{7} ÷ \left(11^{2 } \right) ^{6}
a) 1331
b) 1333
c) 1327

Q.8) Simplify :  \left[ \left\{ \left(9 \right) ^{ 2} \right\} ^{3 } \right] ^{6 } and choose the correct answer.
a) 9^{41 }
b) 9^{36 }
c) 9^{32 }

Q.9) Simplify \left( -4 a^{ \cfrac {13 }{3} }b^{ \cfrac {-11 }{3 } } \right) ^{3}
a) -64 a^{ 13} b^{-11}
b) -64 a^{ 3} b^{-11}
c) -64 a^{ 13} b^{3}

Q.10) Simplify : \left(a^{ 5}b^{-2} \right) ^{6}
a) a^{30} \times b^{ -12}
b) a^{-30} \times b^{ -12}
c) a^{-30} \times b^{ 12}

Q.11) What is the reciprocal of \left( \cfrac {1 }{6 } \right) ^{ -2 } ÷ \left( \cfrac {2 }{7 } \right) ^{ -2 }
a) \cfrac {142}{49}
b) \cfrac {49}{144}
c) \cfrac {144}{49}

Q.12) If a = 5 and b = -1 , what is the value of a^{ b} + b^{a} ?
a) \cfrac{-4}{5}
b) \cfrac{4}{5}
c) \cfrac{-5}{4}

Q.13) Solve the following equation for x, \sqrt { \cfrac {p }{q } } = \left( \cfrac {q }{ p } \right) ^{1 - 2 x}
a) \cfrac{3}{4}
b) \cfrac{-3}{4}
c) 4

Q.14) What is the value of y if 4^{ 7 y + 3} = 1 ?
a) \cfrac {-7}{3}
b) \cfrac {3}{7}
c) \cfrac {-3}{7}

Q.15) If 2^{ n} = \sqrt [3 ]{8 } ÷ \left( 2^{ 3} \right) ^{ \cfrac {2}{ 3} }, what is the value of n ?
a) -1
b) 1
c) -3

Q.16) Simplify \left(27 \right) ^{ \cfrac {2 }{3 } } and choose the correct option.
a) 9
b) 6
c) 11

Q.17) Simplify : \left(16 p^{ -4} \right) ^{ \cfrac {1 }{4 } }
a) 16 p^ {1}
b) -4 p^ {-1}
c) 2 p^ {-1}

Q.18) Simplify the following : 12 x^{ 7} y^{3} ÷ x^{2} y^{- 1}
a) 12 x^{ 4} y^{5}
b) 12 x^{ 5} y^{4}
c) 12 x^{ 7} y^{5}

Correct Answer –

Q.1) c. \cfrac{91}{9}
Q.2) c. -1
Q.3) a. -1152
Q.4) c. \cfrac {4}{5}
Q.5) c. 17
Q.6) a. 256
Q.7) a. 1331
Q.8) b. 9^{36 }
Q.9) a. -64 a^{ 13} b^{-11}
Q.10) a. a^{30} \times b^{ -12}
Q.11) b. \cfrac {49}{144}
Q.12) a. \cfrac{-4}{5}
Q.13) a. \cfrac{3}{4}
Q.14) c. \cfrac {-3}{7}
Q.15) a. -1
Q.16) a. 9
Q.17) c. 2 p^ {-1}
Q.18) b. 12 x^{ 5} y^{4}

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