For example, the expression 2 4 represents a product of 2 × 2 × 2 × 2, which is equal to 16. Powers with Negative Exponents: We are not convenient to read, understand and compare large numbers like 75, 00, 00, 000 1, 459, 500, 000, 000 5, 978, 043, 000, 000, 000 etc. Exponents are widely used in high-level calculations, which allow you to represent a number or variable that automatically repeats itself a certain number of times. You can divide powers using the Quotient of Powers Property, which states that when you are dividing powers with the same base, you can keep the base and subtract the exponents.When two numbers are divided with the same exponents - (4 4 / 2 4) = (4/2) 4 = 2 4Īlso Read: Multiplication and Division of Integers Use of Negative Exponents.When two numbers are multiplied with the same exponents - (4 4 × 2 4) = (4×2) 4 = 8 4.(4 4) 2 = (4) 4x2 = 4 8 Same Exponents but Different Bases With this in mind, let's find i 3 i3 i 3 i, cubed and i 4 i4 i 4 i, start superscript, 4, end superscript. When a base has a power of power - (4 4) 2, then the powers will be multiplied with each other. In fact, when calculating powers of i i i i, we can apply the properties of exponents that we know to be true in the real number system, so long as the exponents are integers. If the base is positive, they are the same, so (3)x 3x. If there is no parentheses with -3x, they are all negative, so it is a reflection of the function 3x across x. So (-3)x will shift between positive (when x is even) and negative (when x is odd). When two exponential numbers are divided with the same base - N 4/ N 3 = N (4-3) Since 1 / (1/x) is just x, a negative exponent just moves its power to the other side of the. The major difference is when the base is negative.
When two exponential numbers are multiplied with the same base - N 4 × N 3= N (4+3).Some of the Laws of Exponents are described below.
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