What is 5 to the negative power of 3?

Example: 53 = 5 × 5 × 5 = 125.

How do you do negative exponents?

A negative exponent is defined as the multiplicative inverse of the base, raised to the power which is opposite to the given power. In simple words, we write the reciprocal of the number and then solve it like positive exponents. For example, (2/3)-2 can be written as (3/2)2.

What is 5 to the negative power of 2?

Negative exponents mean that instead of multiplying that many of the base number together, you divide. For example, 52=25 but 5−2=152=125 .

What is the rule for negative numbers with exponents?

Negative numbers with exponents If the base is negative and the exponent is an even number, the final product will always be a positive number. If the base is negative and the exponent is an odd number, the final product will always be a negative number.

What is 3/5 to the 3rd power as a fraction?

3/5^3 = 27125 = 0.216.

What is 10 to the negative power of 3?

0.001
Answer: 10 to the power of negative 3 is 0.001.

What is the 3rd power of 5?

125
Explanation: 53 = 5 × 5 × 5 = 125.

Why do you flip negative exponents?

Once you’ve learned about negative numbers, you can also learn about negative powers. A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side.

How do you work out 5 to the power of minus 2?

When we calculate anything to the power of a negative number, the magnitude of the result is always less than one. Here, we have to solve 5 to the power of -2. ⇒ 5-2 = 1/52 = 1/(5 × 5) = 1/25 = 0.04. Check out the exponent calculator to make your calculations easy.

What is 10 to the negative power of 5?

10−5 = 0.00001.

What will happen if the exponent is negative?

A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.

How do you write 0.216 as a fraction?

Explanation:

  1. PERCENT: Multiply by 100% .
  2. 0.216⋅100%=21.6%
  3. FRACTION: Count the number of numbers after the decimal and write that number of zeros after 1 . Divide only the numbers after the decimal by this number.
  4. 0.216→3 numbers after decimal.
  5. 1 _ _ _ →1000.
  6. Simplify as needed! 216 1000 =27125.

What is 5 to the power of negative 2 as a fraction?

1/25
Here, we have to solve 5 to the power of -2. ⇒ 5-2 = 1/52 = 1/(5 × 5) = 1/25 = 0.04.

How do you do 5 cubed?

The cube of a number is that number times itself times itself. 5 cubed, denoted 53, is equal to 5×5×5, or 125.