Question

please answer if u answer i will mark u as brainlist​

Answer 1

Answer:

2. 78125/25 Reducing will give 3125

3. U can also subtract the lower power with upper power u will get

7power 7 = 823543

Answer 2

1. The quotient rule is a formula for taking the derivative of a quotient of two functions. It makes it somewhat easier to keep track of all of the terms. Let's look at the formula.

If you have function f(x) in the numerator and the function g(x) in the denominator, then the derivative is found using this formula:

In this formula, the d denotes a derivative. So, df(x) means the derivative of function fand dg(x) means the derivative of function g. The formula states that to find the derivative of f(x) divided by g(x), you must:

Take g(x) times the derivative of f(x).Then from that product, you must subtract the product of f(x) times the derivative of g(x).Finally, you divide those terms by g(x) squared.

2. 5^5

3. 7^7

4. To find a power of a product, find the power of each factor and then multiply.  In general, (ab)m=am⋅bm" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 16px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">(ab)m=am⋅bm(ab)m=am⋅bm.

Example 1:

Simplify (3t)4" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 16px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">(3t)4(3t)4

(3t)4=34⋅t4=81t4" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 16px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">(3t)4=34⋅t4=81t4(3t)4=34⋅t4=81t4

Suppose you want to multiply two powers with the same exponent but different bases.  By using the commutative property of multiplication, you can rewrite the rule as

         am⋅bm=(ab)m" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 16px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">am⋅bm=(ab)mam⋅bm=(ab)m.

5. The Power of a Quotient rule is another way you can simplify an algebraic expression with exponents. Let's start by defining some terms as they relate to exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponentor power.

HOPE IT HELPS u