find .. 8¹/⁵ ,6¹/⁵ in brainly
Answers
Answer:
(1) Simplify (-7)² x (-3)³
(2) Simplify (-2)⁵ x (-1)⁸³
(3) Simplify (-4)⁵ ÷ (-4)⁸
(4) Simplify (-3)⁴ x (5/3)⁴
(5) Simplify (3⁻⁷÷ 3¹⁰) x 3⁻⁵
(6) Simplify
(7) Simplify
(8) Simplify
(9) Simplify
(10) Simplify
Exponents worksheets2 - Solution
Question 1 :
Simplify (-7)² x (-3)³
Solution :
Since the power of -7 is even, the answer must have positive sign. So we can just multiply 7 two times to find the value of (-7)².
(-7)² = 7 x 7 ==> 49
Since the power of -3 is odd, the answer will have negative sign.So we can just multiply 3 three times to find the value of (-3)³.
(-3)³ = (-3) x (-3) x (-3) ==> -27
(-7)² x (-3)³ = 49 x (-27) ==> -1323
Hence the answer is -1323
Question 2 :
Simplify (-2)⁵ x (-1)⁸³
Solution :
Since we have odd power for -2 and -1, we will have negative sign for the expansions of (-2)⁵ and (-1)⁸³.
Negative times negative is positive, so the final answer will have positive sign.
(-2)⁵ = 2 x 2 x 2 x 2 x 2 ==> -32
(-1)⁸³ = -1
(-2)⁵ x (-1)⁸³= 32
Hence the answer is 32.
Question 3 :
Simplify (-4)⁵ ÷ (-4)⁸
Solution :
(-4)⁵ ÷ (-4)⁸ = (-4)⁵ x (-4)⁻⁸
Since we change the division sign as multiplication. The exponent of the denominator is going to become negative.
= (-4)⁵⁻⁸ ==> (-4)⁻³
In order to make the power as positive, we are going to write the reciprocal of -4
= (-4)⁻³ ==> (-1/4)³
Since the power is odd the answer will have negative sign.
(-1/4)³ = -1/64
Hence the answer is -1/64.
Question 4 :
Simplify (-3)⁴ x (5/3)⁴
Solution :
(-3)⁴ x (5/3)⁴ = (3)⁴ x (5⁴/3⁴)
= 5⁴ ==> 5 x 5 x 5 x 5 ==> 625
Question 5 :
Simplify (3⁻⁷÷ 3¹⁰) x 3⁻⁵
Solution :
= (3⁻⁷÷ 3¹⁰) x 3⁻⁵
= (3⁻⁷x 3⁻¹⁰) x 3⁻⁵
= 3^(-7 -10 - 5) ==> 3^-22 ==> 1/3²²
Question 6 :
Simplify
Solution :
Question 7 :
Simplify
Solution :
Question 8 :
Simplify
Solution :
Question 9 :
Simplify
Solution :
= (-2)² + (-3)² + (-4)²
= 4 + 9 + 16 ==> 29
Hence the answer is 29.
Question 10 :
Simplify
Solution :
= (-3)⁴ ==> -81
Hence the answer is -81.
After having gone through the stuff given above, we hope that the students would have understood "Exponents worksheet2".
Step-by-step explanation:
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