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4*4*4*4 = 256
256 = 4^{4}
So option B is the correct answer.
So option C is the correct answer.
2048 = 2 x 1024
= 2 x 2 x 512
= 2 x 2 x 2 x 256
= 2 x 2 x 2 x 2x 128
= 2 x 2 x 2 x 2 x 2 x 64
= 2 x 2 x 2 x 2 x 2 x 2 x 32
= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 16
= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 8
= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
= 2^{11}
So option B is the correct answer.
Which of the following is the value of (4 / 5)^{9} / (4 / 5)^{9}?
Prime factorization of 432 is,
432 =2×2×2×2×3×3×3
to express this as power
432=(2)^{⁴}×(3)^{³}
If any power having a odd number is raised to 1 then result will be 1
So (−1)^{55} = 1
So option B is correct answer.
If any power having a even number is raised to 1 then the result will be 1
Since the power is an even number , So (−1)^{500} = 1
If any power having a odd number is raised to 1 then result will be 1
So (−1)^{47} = 1
So option A is correct answer.
If any power having an even number is raised to 1 then the result will be 1
Since the power is an even number , So (−1)^{4}^{00} = 1
So option A is the correct answer.
Anu wanted to score 26 points in the game of cards, but ends up only 8/3 points. By how many points did she fail short?
Points by which Anu fell short is
= 26  8/3 = (78  8)/3
= 70/3
25^{4}/5^{3 }= (5^{2})^{4/}5^{3}=5^{8}/5^{3}=5^{83}=5^{5}
a × a × a × c × c × c × c × d = a^{3} × c^{4} × d
512=8*8*8=8^{3}=(2^{3})^{3}=2^{3*3}=2^{9}
Anything raised to the power zero is 1 .
(2)^{3}(10)^{3}=(2)*(2)*(2)*(10)*(10)*(10), which is the expansion of the exponential forms which means the power depicts how many times a number is multiplied.
Exponents, or powers, are a way of indicating that a quantity is to be multiplied by itself some number of times. In the expression 2^{5}, 2 is called the base and 5 is called the exponent, or power.
Anything raised to the power zero is 1 .
In the given expression, (4^{0 } 2^{0}) x 5^{0}
^{ }= (1  1) x 1
= ( 0 ) x 1
= 0
So Option B is correct answer.
If a = 3 and b = 4 then find the value of a^{a} + b^{b}
Given, a = 3 and b = 4
a^{a} + b^{b }= 3^{3} + 4^{4 }= 3 x 3 x 3 + 4 x 4 x 4 x 4
= 27 + 16 x 16
= 27 + 256
= 283
So option A is the correct answer.
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)^{6}
So option C is the correct answer.
1 lakh is equal to 10^{5 }
So option A is the correct answer.
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