APPLY EXPONENT PROPERTIES INVOLVING PRODUCTS WORKSHEETS
Apply exponent properties involving products worksheets :
Apply exponent properties involving products worksheets are much useful to the students who would like to practice problems on exponent properties.
Apply exponent properties involving products worksheets - Questions
(1) Simplify (5x²)⁴ x (2x)³
(2) If 5 √5 x 5³= 5 ⁽ⁿ⁺²⁾ then find the value of n.
(3) Simplify (52 x⁶/13x⁻⁷)
(4) Simplify (-7x²) (x⁴)
(5) Simplify (10 x y³ z²) (-2 x y⁵z)
(6) Simplify (-5 xyz) (4 y⁵z) y³
(7) Simplify (7 a b² c³) (¾ a b c⁴)
(8) Simplify (-4 a³) (-5 a⁴)
(9) Simplify (2 a³) (¼) a⁴
(10) Simplify (10 p³) (7/25) p⁷
Apply exponent properties involving products worksheets - Solution
Question 1 :
Simplify (5x²)⁴ x (2x)³
Solution :
= (5x²)⁴ x (2x)³
5⁴ = 5 x 5 x 5 x 5
2³ = 2 x 2 x 2
Since x⁸ and x³ are having same base, we can combine these terms.
Question 2 :
If 5 √5 x 5³= 5 ⁽ⁿ⁺²⁾ then find the value of n.
Solution :
Question 3 :
Simplify (52 x⁶/13x⁻⁷)
Solution :
= (52 x⁶/13x⁻⁷)
We have negative power for the x term which is in the denominator.To make it as positive we are going to write it in numerator.
= (52 x⁶x⁷/13)
= 4 x⁽⁶⁺⁷⁾
= 4 x¹³
Question 4 :
Simplify (-7x²) (x⁴)
Solution :
= (-7x²) (x⁴)
= -7 x⁽²⁺⁴⁾
= -7 x⁶
Question 5 :
Simplify (10 x y³ z²) (-2 x y⁵z)
Solution :
= (10 x y³ z²) (-2 x y⁵z)
= -20 x^(1+1) y^(3+5) z^(2+1)
= -20 x²y⁸z³
Question 6 :
Simplify (-5 xyz) (4 y⁵z) y³
Solution :
= (-5 xyz) (4 y⁵z) y³
= -20 x y⁵y³z z
= -20 x y^(5+3) z^(1+1)
= - 20 x y⁸z²
Question 7 :
Simplify (7 a b² c³) (¾ a b c⁴)
Solution :
= (7 a b² c³) (¾ a b c⁴)
= (21/4) a^(1+1)b^(2+1)c^(3+4)
= (21/4) a²b³c⁷
Question 8 :
Simplify (-4 a³) (-5 a⁴)
Solution :
= (-4 a³) (-5 a⁴)
= 20 a^(3+4)
= 20 a⁷
Question 9 :
Simplify (2 a³) (¼) a⁴
Solution :
= (2 a³) (¼) a⁴
= (2/4)a^(3+4)
= (1/2) a⁷
Question 10 :
Simplify (10 p³) (7/25) p⁷
Solution :
= (10 p³) (7/25) p⁷
= 10(7/25)p^(3+7)
= (1/2) a¹⁰
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