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NNADVOKAT [17]
3 years ago
6

What does product rule of exponents say

Mathematics
2 answers:
LuckyWell [14K]3 years ago
7 0
The rules of exponents are
( x^{m})( x^{n})=( x^{m+n})
\frac{ x^{m} }{ x^{n} } = x^{m-n}
x^{ \frac{m}{n} } = \sqrt[n]{ x^{m} }
( x^{m} )( y^{m} )=(yx)^{m}
( x^{m})^{n}=x^{mn}
( \frac{x}{y})^{m}= \frac{x^{m}}{y^{m}}
x^{-n}= \frac{1}{x^{n}}
these are just some basic ones
Butoxors [25]3 years ago
4 0

Step-by-step explanation: Whenever you multiply two powers together that have like bases, you can simply add the exponents together. This idea is called the product rule.

I'll show an example.

In the image provide, we're asked to simplify.

Since the two powers have the same base of <em>X</em>, we can multiply them together by adding their exponents. So X^{3} × X^{4} is X^{7}

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Give an example of a function f : N → N that is surjective but not injective. You must explain why your example is surjective an
Helen [10]

Answer:

Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.

Step-by-step explanation:

First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y.  We conclude that f is surjective.

However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.

Note:

If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.

7 0
3 years ago
Solve the equation:<br> - 6n = 2 3/4
Elena-2011 [213]

Answer:

n= 11/24

Step-by-step explanation:

hope it helps

3 0
3 years ago
3-3x6+2 and how is that reached, please!
Dvinal [7]
The order of mathematical operation is MDAS.
M - multiplication
D - division
A - addition
S - subtraction

3 - 3 x 6 + 2

Multiplication : 3 x 6 = 18
Division: none
Addition : + 3 + 2 = 5 (combine positive numbers)
Subtraction : 5 - 18 = -13

3 - 18 + 2 = -13
3 0
3 years ago
What is the solution of 10=|7-3x|
Tom [10]

10=|7-3x| \\ 7-3x=10 \vee 7-3x=-10\\ 3x=-3 \vee 3x=17\\ x=-1 \vee x=\dfrac{17}{3}

5 0
3 years ago
How to Increase 8 by 9.4%
Fed [463]

Answer:

75.2

Step-by-step explanation:

multiple 8 by 9.4

4 0
3 years ago
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