New Learning Composite Mathematics Class 7 SK Gupta Anubhuti Gangal Powers and Exponents Chapter 4A Solution

New Learning Composite Mathematics SK Gupta Anubhuti Gangal Class 7 Powers and Exponents Self Practice 4A Solution

(1) Complete the table. One has been dome for you.

  Expression Base Exponent Meaning Value
(a) 28 2 8 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 256
(b) (-12)3        
(c) (-3/4)3        
(d) (-5/7)3        

(2) Write in exponential form.

(a) 15 x 15

(b) (-9) x (-9) x (-9)

(c) 29

(d) (-5/7) (-5/7) (-5/7) (-5/7)

(e) (-8) (-8) (-8)….10 times

(f) (2p) (2p) (2p)

(g) (-x). (-x). (-x). (-x)

(h) (-10) . (-10) a. a. a

(i) (-m). (-m) . (-m). n. n

(j) – 43

(3) Find the value of each expression.

(a) 53

(b) -53

(c) (-2/9)3

(d) (-2)6

(e) (-3)4

(4) Write each expression as repeated multiplication. Then write the value of each expression.

(a) 104

(b) (-7/8)4

(c) (1/10)2

(d) (-12)3.y4

(5) Express the prime factorization of the following numbers in exponential form.

(a) 81

(b) 1600

(c) -32/243

(d) -343/1331

(6) Express:

(a) 625 to base (i) 5 (ii) 25

(b) -729 to base (i0 3 (ii) -9

SOLUTION Number 1, 2 &3:

(7) Evaluate:

(a) (-3)3 x (-1)9 x 102

(b) (-2/3)3 (-3/4)2 x (-1)8 x (-6)2

(8) Evaluate each expression for the given value of the variables.

(a) am + bn for a = -5, b = 11, m = 3 and n = 2

(b) 3x15 – (y + z)3 for x = -1, y = -7, z = -3

SOLUTION 6, 7 & 8:

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