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The relevant exponent is -2.

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Q: Which exponent gives the square of the reciprocal of a number?
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How do I explain square root?

The square root of a number is that number which, when squared, gives you the given number. For example, the square root of 25 is 5, since if you square 5, you get 25. It is the "inverse function" (that is, in a way it's the opposite) of squaring.

Why isn't 20 considered a square number?

because there is no whole number when multiplied by itself that gives 20. 25 is a square number because 5 x 5 = 25

How many square roots does the number 13 have?

Every positive number has TWO square roots. The principal square root is the positive number which, when multiplied by itself, gives the number in question. But its negative equivalent will also be a square root. For example, the number 4 has 2 as the principal sqrt but -2 is also a sqrt of 4

What is the square root of 3 times the square root of 3?

3. The square root of a number is the number that when multiplied by itself, will give you the original number. Therefore, if you multiply the square root of three by itself, you will get three. A more clear example using whole numbers: the square root of nine times the square root of nine is three times three, which gives you nine, your original number.

How do you order two numbers written in scientific notation?

If the signs at the front of the numbers are different then the one with the negative sign is smaller. So the question can be simplified to ordering two numbers that have the same sign. Suppose they are both positive numbers. If one of them has a smaller exponent (power of 10) than the other, then that number is smaller. That then leaves two positive numbers with the same exponent. So the only difference is in the mantissa (or the bit before the power of 10). Since the powers of 10 are the same in both cases, the smaller mantissa gives the smaller number. Going back to the case where both numbers are negative: their ordering is the same as for negative integers, for example. The bigger absolute value gives the smaller negative number.

Related questions

What do Negative exponents indicate?

Raising a number to a negative exponent gives you the reciprocal of the same number raised to the corresponding positive exponent. For example, 32 = 9, so 3-2 = 1/9

How do you find the reciprocal of a number?

Reciprocal is the multiplictive inverse. For example, 1/x when multiplied by x gives 1. x is the reciprocal of 1/x. Thus, if a number, when multiplied by a given number, produces 1 as the product, then that number is called the reciprocal of the given number.

What is the multiplication reciprocal of 19?

A reciprocal is the number that when multiplied with the original number will give you 1. 1/19 times 19 gives you 1.

What is the negative reciprocal of a slope?

The negative reciprocal of any gradient gives the gradient of the line perpendicular to it. If you had a line of gradient 2, the negative reciprocal would be -1/2 Just change the sign on the number and flip the number/fraction to get the negative reciprocal.

Multiplying both terms by the same number gives an fraction?


Is there a product of two perfect squares that is not a perfect square?

No there isn't. every perfect square number can be factored into prime number. At their factoration you'll always have multiples of two on the primes exponent. Therefore you'll multiply a prime raised to a 2-multiple number with another prime raised to a 2-multiple number wich gives you also a number that factored gives you a product of prime numbers raised to a 2-multiple number and so, a perfect square.

What does reciprocal mean in math?

A reciprocal is 1 divided by a number. So, the reciprocal of x is 1/x. For example: The reciprocal of 2 is 1/2 is 0.5 The reciprocal of 9 is 1/9 is 0.111111111111 The reciprocal of 0.5 is 1/0.5 is 2. To divide one by a number is called 'taking the reciprocal.' If you have a fraction, taking the reciprocal is fairly easy: simply 'flip' it. I.e., put the numerator in the denominator, and the denominator in the numerator. For example: The reciprocal of 2/3 is 3/2 The reciprocal of 7/8 is 8/7 The reciprocal of 1/4 is 4 (/1). The technical mathematical definition of the reciprocal of x is: "The number which, when multiplied by x, gives one."

What is the reciprocal of a number such that the difference between y and 6 gives 19 and please show the solution?

as given y-6=19 so y=25 the reciprocal of this no is 1/25

What does reciporocal mean?

Each for the other. If people have reciprocal respect, they each respect the other in the same way. In math, it is, for any given number, the number obtained by dividing one by that number, or put another way, the number which when multiplied by that number, gives one. The reciprocal of two is one-half.

When using quotient fractions to a negative power do you flip the base number?

A negative power gives you the reciprocal of the positive power so yes you flip your number.

What exponent gives a value of 125?

53 = 125 ====

What exponent gives a value of 81?

92 = 81