m4n4
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 number that is multiplied by itself 4 times is called the fourth power of that number. In mathematical terms, this is denoted as "n^4" where "n" is the base number. When a number is raised to the fourth power, it is multiplied by itself four times, resulting in the number multiplied by itself four times.
the sum of 3 times m and n
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
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
You don't solve it!!! It is a method of manipulation of indices. a^(n) X a^(m) = a^(n+m) Similarly, a^(n) / a^(m) = a^(n-m) [a^(n)]^(m) = a^(nm)
It is not possible to answer the question because different books number number the laws differently.
The five laws of exponents are: Product of Powers: ( a^m \times a^n = a^{m+n} ) — When multiplying like bases, add the exponents. Quotient of Powers: ( \frac{a^m}{a^n} = a^{m-n} ) — When dividing like bases, subtract the exponents. Power of a Power: ( (a^m)^n = a^{m \times n} ) — When raising a power to another power, multiply the exponents. Power of a Product: ( (ab)^n = a^n \times b^n ) — Distribute the exponent to each factor inside the parentheses. Power of a Quotient: ( \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} ) — Distribute the exponent to the numerator and denominator.
The number that is multiplied by itself 4 times is called the fourth power of that number. In mathematical terms, this is denoted as "n^4" where "n" is the base number. When a number is raised to the fourth power, it is multiplied by itself four times, resulting in the number multiplied by itself four times.
the sum of 3 times m and 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
[(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!
The numerator of a fractional power indicates the number of times the base is multiplied by itself. For example, in the expression ( a^{m/n} ), the numerator ( m ) tells you to take the base ( a ) to the ( m )-th power. This is combined with the denominator ( n ), which indicates that you then take the ( n )-th root of that result. Thus, the numerator directly influences the exponentiation aspect of the fractional power.
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.