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 laws of indices, or exponent rules, are fundamental principles that govern the manipulation of exponential expressions. Key laws include: (a^m \times a^n = a^{m+n}) (multiplying with the same base), (a^m \div a^n = a^{m-n}) (dividing with the same base), and ((a^m)^n = a^{m \times n}) (power of a power). Additionally, (a^0 = 1) for any non-zero (a), and (a^{-n} = \frac{1}{a^n}) for any integer (n). These laws simplify calculations involving exponents.
Exponents indicate how many times a base number is multiplied by itself. For example, (a^n) means multiplying the base (a) by itself (n) times. Key properties include that any non-zero number raised to the power of zero equals one, and multiplying exponents with the same base involves adding their powers (i.e., (a^m \times a^n = a^{m+n})). Additionally, raising a power to another power involves multiplying the exponents (i.e., ((a^m)^n = a^{m \cdot n})).
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!
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