Q: What is M to the fourth power Times n to the fourth power?

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X to the 7th power. X^m*X^n=X^m+n That means when you multiply variables with the same base, you add the exponents.

m^4 n^5 - m^20 n^21

the sum of 3 times m and n

For the purposes of this answer we will use the convention that x^n means xⁿ Any non-zero number to the zero power is 1 we get this from the idea that (x^n)(x^m) is x^(n+m) if n=-m, then n+m = 0 and x^ m is 1/(x^n) and (x^n)(x^m) (x^n)/(x^n)=1 so x^0 = 1 1 raised to any positive power is 1 1 raised to any negative power is 1 We can thus represent 1 as x^0 = 1 1^n = 1 1 ^(-n) = 1 (where n>0 Note that n need not be an integer since all roots of 1 are also 1)

any negative number -n can be written as -1*n (minus 1 times that number). so, multiplying two negative numbers together:-n * -m = -1*n * -1*m = -1*-1*n*m = n*m (which is always positive)-6*-9 = -1*-1*6*9 = 6*9 = 54

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The question is open to multiple interpretations but I think you mean [(-2m)^4] x (n^6)^2 = [(-2)^4](m^4)(n^12) = 16(m^4)(n^12) or 16 times m to the 4th power times n to the 12th power.

X to the 7th power. X^m*X^n=X^m+n That means when you multiply variables with the same base, you add the exponents.

m^4 n^5 - m^20 n^21

am * an = am+n

The fourth index law states that when you raise a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

ab*ac=ab+c consider the powers of 2. 22=4, 23=8, 22*23=32=23+2=25 when multiplying a number by itself, you raise its power by one. when multiplying a number by itself n times, you raise it to the power of n, so if you raise a number to the power n, then the seame number to the power m, then multiply these together you are multiplying n+m times

the sum of 3 times m and n

[(4/n)(9)(2/9)]^n -2x^6 - 2n=m/x^2 (8/n)^2 - 2x^6 -2n=m/x^2 (64x^2)/n^2 -2x^8 -2nx^2=m Now we know what m equals. I've got to go now. Sorry!

If n is a natural number and M is a matrix, then Mn denotes the matrix M multiplied by itself n times. We can include n=0, but that is just the identity matrix. So the power of a matrix is very similar to the exponents that are used for numbers.

for any non zero no. x, x^0=1 the proof is as follows, consider the two no.s x^m and x^n,where m and n are two non zero no.s. now let us assume without any oss of generality,that m>n,hence (x^m)/x^n=(x*x*x....m times)/(x*x*x...n times) now on the r.h.s, n no. of x in the denominator will cancel out n no. of x in the numerator(as x is non zero);leaving (m-n) no. of x in the numerator, i.e. (x^m)/(x^n)=x^(m-n) now letting m=n,we have x^m/x^m=x^(m-m) or, 1=x^0 hence the proof if x is also 0,i.e. 0 to the power 0 is undefined!

m and n are 70 and 90

P = 1 For K = 1 to M . P = P * N Next K PRINT "N raised to the power of M is "; P