I have question below, hope that you can answet it pls.?

Question

Explain how x to the power of m and x to the power of n is equal to x to the power of m+n. Show how this is true using the meaning of exponents and multiplication. Use numerical examples to show it is true.

Answer 1

Let x=10
Let m=2
Let n=3

X^2=100
X^3=1000

(X^2)*(X^3)=100000 =10^5 = X^(m+n)

Hence it's true. try other examples they all work

Answer 2

The Winning EQUATION
general case or proof, but focus on presentation with numerical examples. TIME: 2 hours ... Use exponents in fractions. ......
www.csun.edu/~vcmth00m/Exp1.pdf
1 Atlantic Canada Elementary Mathematics...
Multiplication of Powers with the Same Bases. Expanding the Exponents – The Pattern ... Numerical Examples 1,2; Central...
www.neufeldmath.com/correlations/Atlan...
Main Ideas of Arithmetic
shown by simple diagrams and numerical examples. It is the most signi ... properties of both addition and multiplication...
www.uwm.edu/People/rhmoore/Main-Ideas-...

Answer 3

See my answer to essentially the same question above.

Answer 4

x^m=x*x*x*x*x*.... m factors
x^n=x*x*x*x*x*x.....n factors
x^m*x^n=x*x*x*x*x....mfactors*x*x*x*x*....n factors
=x*x*x*x*....(m+n)factors
numerical example
2^5=2*2*2*2*2
2^7=2*2*2*2*2*2*2
2^5*2^7=(2*2*2*2*2)*(2*2*2*2*2*2*2)
=2*2*2*2*2*2*2*2*2*2*2*2=2^12