What is 2 to the negative power of 4?

A negative number to a even-numbered power will always be positivr. -2^4 is different from (-2)^4. -2^4 is equal to multiplying 2^4 by -1. So it would be -16.

How do parentheses affect negative exponents?

If there are parentheses around the negative base, the power applies to the entire equation — including the negative sign. If there are no parentheses, the power applies only to the base and not to the negative sign.

Is negative 2 squared positive 4?

Yes, you can square a negative number. This is because to square a number just means to multiply it by itself. For example, (-2) squared is (-2)(-2) = 4. Note that this is positive because when you multiply two negative numbers you get a positive result.

What is 4 to the negative 2 power simplified?

The negative sign in the -2 exponent implies that the number changes sides in a fraction. In other words, the 4−2 would move to the denominator. It would simplify to 142 , or 116 .

How do you solve 4 to the 4th power?

Answer: The value of 4 to the 4th power i.e., 44 is 256. Let us calculate the value of 4 to the 4th power i.e., 44. Thus, 44 can be written as 4 × 4 × 4 × 4 = 256.

Why is to the 4th power negative?

The reason why you can put negative exponents in the denominator is because of inverse operations. The expression x^0 is is equal to 1 and the expression x^1 is equal to x. To go from x^0 to x^1, we just multiply by x.

How do parentheses affect exponents?

Explanation: An exponent outside of a parentheses means the entire quantity is being raised to that power. In other words, the quantity inside the parentheses is being multiplied by itself the number of times the outside exponent says. Recall that when like bases are being multiplied together their exponents are added.

Do parentheses matter in exponents?

If the base is in parentheses, as in our first case, the exponent affects everything that is inside the parenthesis, that is, the sign and the number. However, if the base is not in parentheses, as in the second case, the exponent affects only the immediate value to the left, that is, only the number, without the sign.

What is a negative number to the power of 2?

positive number
Answer: The negative number to the power 2 is always a positive number.

What happens if you square a negative?

The square of a number can be found by multiplying the number by itself. Explanation: The product of two negative numbers is always positive. If we find the square of a negative number, say -x, where x > 0, then (-x) × (-x) = x2.

How do you change a negative exponent to a positive?

When we need to change a negative exponent to a positive one, we are supposed to write the reciprocal of the given number. So, the negative sign on an exponent indirectly means the reciprocal of the given number, in the same way as a positive exponent means the repeated multiplication of the base.