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

**(1) Multiply and write the product as one power.**

(a) 2^{5} x 2^{3}

(b) 4^{7} x 4^{5}

(c) 9^{8} x 9^{7}

(d) 10^{5} x 10^{3} x 10

(e) (1/2)^{7} x (1/2)^{3}

(f) (-7/9)^{11} x (-7/9)^{6}

(g) (5/13)^{9} x (5/13)^{11}

(h) (-4/15)^{8} x (-4/15)^{5 }x (-4/15)^{9}

(i) p^{7} x p^{8 }x p^{9} x p^{6}

**(2) Divide and write the quotient as one power.**

(a) 3^{6} ÷ 3^{4}

(b) 7^{11} ÷ 7^{5}

(c) (-11)^{7} ÷ (-11)^{4}

(d) x^{10} ÷ x^{4}

(e) (1/3)^{7} ÷ (1/3)^{5}

(f) (-8/17)^{20} ÷ (-8/17)^{15}

(g) (3/19)^{8} ÷ (3/19)

(h) (-23)^{7} ÷(-23)^{7}

(i) p^{5} / p

(j) (-x)^{17} / (-x)^{5}

**SOLUTION 1 & 2:**

**(3) Simplify, leaving each answer in exponential form.**

(a) (3^{4})^{2}

(b) (6^{5})^{7}

(c) (17^{2})^{3}

(d) [(7/3)^{2}]^{5}

(e) [(-7/8)^{6}]^{5}

(f) (m^{9})^{3}

(g) (t^{4})^{4}

(h) (n^{10})^{9}

**(4) Simplify:**

(a) (xy)^{2}

(b) (7a^{2})^{3}

(c) (-2x^{5}y^{2})^{7}

(d) (-3p^{3}q^{4})^{4}

**SOLUTION 3 & 4:**

**(5) Simplify:**

(a) (8^{3})^{2} ÷ 8^{4}

(b) (2^{2})^{3} x 5^{2}

(c) (3a^{2})^{3} ÷ (-3a^{6})

(d) (-2x^{2}y^{3})^{4} x (1/2 x^{4}y^{7})^{4}

(e) (19^{5})^{0}

(f) (5^{0} – 7^{0}) x 35^{0}

**(6) Find the value of x in each case.**

(a) x^{6} = 64

(b) (-3)^{x -1} = -243

(c) (3/4)^{4} x (3/4)^{5} = (3/4)^{5x + 1}

(d) 5^{9} ÷ (5)^{3 – x} = 5^{10}

**(7) Simplify the following:**

(a) (3^{3})^{2} x 5^{2} / 9^{2} x 5

(b) 3^{8} x a^{6} / 9^{3} x a^{3}

(c) (5^{0} + 4^{0} + 3^{0}) x 3^{4}

**(8) If [3m ^{2} ÷ (3m)^{2} ]^{m} = 1/81 then the value of m is**

(a) -3

(b) -6

(c) -3

(d) 4

**SOLUTION 5, 6, 7 & 8:**

Please send 4c & 4d solutions

Please send 4c and4d

Plz send ex 4cand d

yes mam

i am so happy to solve this silly answers in my life

hi manish

Ex 4 C and D?