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Answer: 5 to the power of negative 2 is 0.04. Let's understand the solution. Explanation: 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 = 1/5 2 = 1/ (5 × 5) = 1/25 = 0.04.
17 Αυγ 2023 · Calculate the power of large base integers and real numbers. You can also calculate numbers to the power of large exponents less than 2000, negative exponents, and real numbers or decimals for exponents.
A negative exponent means how many times to divide by the number. Example: 8-1 = 1 ÷ 8 = 1/8 = 0.125. Or many divides: Example: 5-3 = 1 ÷ 5 ÷ 5 ÷ 5 = 0.008. But that can be done an easier way: 5-3 could also be calculated like: 1 ÷ (5 × 5 × 5) = 1/53 = 1/125 = 0.008.
Enter an exponential expression below which you want to simplify. The exponent calculator simplifies the given exponential expression using the laws of exponents.
The calculator above accepts negative bases, but does not compute imaginary numbers. It also does not accept fractions, but can be used to compute fractional exponents, as long as the exponents are input in their decimal form.
In the expression -3^2, 3^2 is calculated to give 3*3 = 9, then the negative sign is attached to give a final answer of -9. It helps to think of attaching the negative sign as multiplying by -1, and to recall that exponents are performed before multiplication according to PEMDAS.
Ian Pulizzotto. 5 years ago. The negative sign on an exponent means the reciprocal. Think of it this way: just as a positive exponent means repeated multiplication by the base, a negative exponent means repeated division by the base. So 2^ (-4) = 1/ (2^4) = 1/ (2*2*2*2) = 1/16. The answer is 1/16.
