Class 7 Exam > Class 7 Questions > (2/7)2x (2/7)4is equal to:a)(4/7)8b)(2/7)2c)(...
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(2/7)2 x (2/7)4 is equal to:
- a)(4/7)8
- b)(2/7)2
- c)( 2/7)6
- d)(4/14)6
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
(2/7)2x (2/7)4is equal to:a)(4/7)8b)(2/7)2c)(2/7)6d)(4/14)6Correct ans...
Whenever you multiply two terms with the same base, you can add the exponents:
( x m ) ( x n ) = x( m + n )
So
(2/7)2 x (2/7)4 = (2/7)6So option C is the correct answer.
Most Upvoted Answer
(2/7)2x (2/7)4is equal to:a)(4/7)8b)(2/7)2c)(2/7)6d)(4/14)6Correct ans...
Yes the correct answer is C-
When the base of the equation is same the powers are added in order to obtain the product
(2/7)4+2
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(2/7)2x (2/7)4is equal to:a)(4/7)8b)(2/7)2c)(2/7)6d)(4/14)6Correct ans...
To solve the equation (2/7)2x (2/7)4, we can simplify each term separately and then multiply them together.
Simplifying the first term:
(2/7)2 = (2/7) * (2/7) = 4/49
Simplifying the second term:
(2/7)4 = (2/7) * (2/7) * (2/7) * (2/7) = 16/2401
Now we can multiply the two simplified terms together:
(4/49) * (16/2401) = (4 * 16) / (49 * 2401) = 64 / 117649
Therefore, the final answer is 64/117649.
Now let's match the answer with the given options:
a) (4/7)8 = (4/7) * (4/7) * (4/7) * (4/7) * (4/7) * (4/7) * (4/7) * (4/7) = 16384/5764801
b) (2/7)2 = (2/7) * (2/7) = 4/49
c) (2/7)6 = (2/7) * (2/7) * (2/7) * (2/7) * (2/7) * (2/7) = 64/117649
d) (4/14)6 = (4/14) * (4/14) * (4/14) * (4/14) * (4/14) * (4/14) = 4096/7529536
Comparing the final answer 64/117649 with the given options, we can see that the correct answer is c) (2/7)6.
Therefore, the correct answer is option c) (2/7)6.
Simplifying the first term:
(2/7)2 = (2/7) * (2/7) = 4/49
Simplifying the second term:
(2/7)4 = (2/7) * (2/7) * (2/7) * (2/7) = 16/2401
Now we can multiply the two simplified terms together:
(4/49) * (16/2401) = (4 * 16) / (49 * 2401) = 64 / 117649
Therefore, the final answer is 64/117649.
Now let's match the answer with the given options:
a) (4/7)8 = (4/7) * (4/7) * (4/7) * (4/7) * (4/7) * (4/7) * (4/7) * (4/7) = 16384/5764801
b) (2/7)2 = (2/7) * (2/7) = 4/49
c) (2/7)6 = (2/7) * (2/7) * (2/7) * (2/7) * (2/7) * (2/7) = 64/117649
d) (4/14)6 = (4/14) * (4/14) * (4/14) * (4/14) * (4/14) * (4/14) = 4096/7529536
Comparing the final answer 64/117649 with the given options, we can see that the correct answer is c) (2/7)6.
Therefore, the correct answer is option c) (2/7)6.
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(2/7)2x (2/7)4is equal to:a)(4/7)8b)(2/7)2c)(2/7)6d)(4/14)6Correct answer is option 'C'. Can you explain this answer?
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