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What is 128 in exponential form with 2 or 3 as the exponent?
128 is neither a perfect square nor a perfect cube, it is 2⁷ (2 to the 7th power).
Is 2 a perfect square?
To be a perfect square, a number must have a square root that evaluates to an integer. The square root of 2 is approximately equal to 1.414, thus it is not a perfect square.
Is every rational number a perfect square?
No. Though every perfect square is a rational number, not every rational number is a perfect square. Example: 2 is a rational number but sqrt(2) is not rational, so 2 is not a perfect square.
What is the smallest positive integer that 248832 can be multiplied by in order for the product to be a perfect square?
The prime factorisation of 248832 is 2¹⁰ × 3⁵ Every perfect square number has a prime factorisation where each prime is to an even power. 2 has an even power 3 has an odd power, so need an extra power → multiple 248832 by 3 which gets (2⁵ × 3³)²
Why is one a perfect square?
Because anything times itself equals a perfect square and is considered that taking the square root of a perfect square (non negative numbers) which end result does not involve fractions but whole numbers is a perfect square. 1 x 1 = 1 sq.root(1) = 1 2 x 2 = 4 (Perfect square) sq.root(4) = 2
What is a Perfect square that is a power of 2?
8
What is a Perfect square that is a power of 2 for 9?
81
What is the perfect square of 4 using the power 2?
16
What is a 3-digit perfect square that is a power of 2?
1
Is 2 a perfect square and perfect cube?
No, 2 is neither a perfect square nor a perfect cube.
What is 128 in exponential form with 2 or 3 as the exponent?
128 is neither a perfect square nor a perfect cube, it is 2⁷ (2 to the 7th power).
Is 2 a perfect square?
To be a perfect square, a number must have a square root that evaluates to an integer. The square root of 2 is approximately equal to 1.414, thus it is not a perfect square.
What whole number is less than 100 that is both a perfect square and a perfect cube?
To be a perfect square, all the primes in a number's prime factorisation must have an even power To be a perfect cube, all the primes in a number's prime factorisation must a power that is a multiple of 3 → To be a perfect square, all the primes in a number's prime factorisation must a power that is a multiple of 3 and a multiple of 2, ie the power must be a multiple of 6 The smallest prime is 2 2⁶ = 64 = (2³)² = 8² = (2²)³ = 4³ 2¹² = 4096 (too large) 3⁶ = 729 (too large) There is also 1 = 1² = 1³ Thus the whole numbers less than 100 which are both perfect squares and perfect cubes are 1 and 64.
Is every rational number a perfect square?
No. Though every perfect square is a rational number, not every rational number is a perfect square. Example: 2 is a rational number but sqrt(2) is not rational, so 2 is not a perfect square.
What is a perfect square binomial?
It is not possible for a perfect square to have just 2 terms.
What is the smallest perfect cube and perfect square to the eleventh power?
0. 0 is a perfect square as well as a perfect cube. And 011 = 0. The next number will be 1.
What is the second lowest number that is both a perfect square and a perfect cube?
Any integer ,n, to the 6th. power would be both a perfect square and a perfect cube: This is because (n2 )3 =n6 which is a perfect square and a perfect cube. Or course you could also write this as (n3 )2 =n6 06 = 0 16 = 1 26 = 64 etc.
