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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)
What else can I help you with?
What is 3 to the 3rd power times 3 to the 2nd power?
To solve (3^3 \times 3^2), you can use the property of exponents that states (a^m \times a^n = a^{m+n}). Therefore, (3^3 \times 3^2 = 3^{3+2} = 3^5). Calculating (3^5) gives you (243).
What is the answer to -2m to the fourth power times n to the 6thpower to the 2nd power?
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.
What is the five law of exponents?
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.
What are the laws of indices in maths?
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.
What is true regarding 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})).
How do you solve M to the power of 4 times N to the power of 5 minus M to the power of 20 times N to the power of 21 m4 n5 - m20n21?
m^4 n^5 - m^20 n^21
What is 3 to the 3rd power times 3 to the 2nd power?
To solve (3^3 \times 3^2), you can use the property of exponents that states (a^m \times a^n = a^{m+n}). Therefore, (3^3 \times 3^2 = 3^{3+2} = 3^5). Calculating (3^5) gives you (243).
What is the answer to -2m to the fourth power times n to the 6thpower to the 2nd power?
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.
What is M to the fourth power Times n to the fourth power?
m4n4
What is the five law of exponents?
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.
K+m+n=1500M is three times as big as NK is twice as big as nCalculate k, m and n?
The equation given is not enough to solve for k, m, and n as it has 3 unknowns and only 1 equation. You need at least 2 or more equations to solve for the unknowns.
What are the laws of indices in maths?
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.
What is true regarding 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})).
How you can solve laws of indices?
To solve problems involving the laws of indices, first familiarize yourself with the key rules: the product rule (a^m × a^n = a^(m+n)), the quotient rule (a^m ÷ a^n = a^(m-n)), and the power rule ((a^m)^n = a^(m×n)). Apply these rules step-by-step to simplify expressions involving exponents. Always watch for cases with zero or negative exponents, as these have special considerations (e.g., a^0 = 1 and a^(-n) = 1/a^n). Finally, practice various problems to reinforce your understanding and application of these laws.
What is the hardest math question ever?
n+n-n-n-n+n-n-n squared to the 934892547857284579275348975297384579th power times 567896578239657824623786587346378 minus 36757544.545278789789375894789572356757583775389=n solve for n! the answer is 42
X to the third power times x to the fourth 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.
How can you solve m-4n equals 8?
m=16, n=2
