Respuesta :
This is an example of the quotient of powers property and tells us that when you divide powers with the same base you just have to subtract the exponents. When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1.
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This is about the properties of exponents.
The properties of exponents are explained below.
Exponents are values which are powers that show how many times we have to multiply a base number by itself.
The examples of properties of exponent are;
- Product of powers; What this means is that when we multiply two or more bases that have same value, we will retain the bases and just add the exponents together. For Example; 4² × 4³; We will just retain the base of 7 and add both exponents to get; 4⁵
- Quotient of Powers; What this means is that when we divide two bases that have same value, we will retain the bases and just subtract the second exponent from the first one. For example; 7⁵ ÷ 7²; We will just retain the base of 7 and subtract 2 from 5 to get; 7⁽⁵ ⁻ ²⁾ = 7³
- Power to a Power; What this means is that when we have a power raised to another power, we multiply the exponents together and retain the base number. For example; 4²⁽³⁾; we multiply 3 by 2 to get; 4⁶.
- Power of a Product; What this means is that when we have two bases multiplying each other in a bracket being raised to a power, we distribute the power to each of the bases. For example (xy)⁴ will give us; x⁴y⁴
- Power of a quotient; What this means is that when we have two bases dividing each other in a bracket being raised to a power, we distribute the power to each of the bases. For example (x/y)⁴ will give us; x⁴/y⁴
Read more at; https://brainly.com/question/19204433