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How do you multiply exponents with different coefficients?

To multiply exponents with different coefficients, you first multiply the coefficients together and then apply the exponent rule. For example, if you have (a^m) and (b^n), the result of multiplying them is (ab^{mn}). The exponents remain the same unless they have the same base, in which case you add the exponents together. So, (a^m \cdot a^n = a^{m+n}).


What signs are used when mulitiplying and dIviding integers would the signs be the same and the answer negative?

positive x positive = positive negative x negative = positive positive x negative = negative negative x positive = negative The same rules apply for dividing, since dividing is actually multiplying by the reciprical.


How are solving equations similar to solving inequalities?

Solving equations and inequalities both involve finding the values of variables that satisfy a given mathematical statement. In both cases, you apply similar algebraic techniques, such as adding, subtracting, multiplying, or dividing both sides of the equation or inequality. However, while equations have a specific solution, inequalities can have a range of solutions. Additionally, when multiplying or dividing by a negative number in inequalities, the direction of the inequality sign must be reversed, which is a key difference from solving equations.


How do you divide positive and negative numbers?

It is the same rules that apply for multiplying them:positive and negative are negativepositive and positive are positivenegitve and negative are positive


What is 5 to the power of 4 times 5 to the power of 2 written as to the power of 5?

To simplify the expression (5^4)(5^2) as a single power of 5, we can apply the rule of exponents that states when multiplying numbers with the same base, you add the exponents. In this case, 5^4 * 5^2 can be simplified to 5^(4+2) = 5^6. So, (5^4)(5^2) written as a single power of 5 is 5 to the power of 6.

Related Questions

Does the negative rule for exponents using scientific notation apply to adding subtracting dividing and multiplying?

Yes, it does.


How can you solve an equation to get an equivalent equation?

In general, if you apply the same operation to both sides of an equation, you get an equivalent equation - at least if you do simple things like adding, subtracting, multiplying by a non-zero number, and dividing by some number.


How do you multiply exponents with different coefficients?

To multiply exponents with different coefficients, you first multiply the coefficients together and then apply the exponent rule. For example, if you have (a^m) and (b^n), the result of multiplying them is (ab^{mn}). The exponents remain the same unless they have the same base, in which case you add the exponents together. So, (a^m \cdot a^n = a^{m+n}).


What are distributive properties in algebra?

the rules that you have to apply when adding ,subtracting, multiplying or dividing go to this webpage for a proper explanation http://math.about.com/od/algebra/a/distributive.htm


Is 3 a multiple of 6?

iuyfiudtrytrsjituyyes because 3x2 = 6Yes (double). A Multiple generally means you can get there by multiplying by an integer, not just multiplying in general (which would apply to pretty much everything).


What signs are used when mulitiplying and dIviding integers would the signs be the same and the answer negative?

positive x positive = positive negative x negative = positive positive x negative = negative negative x positive = negative The same rules apply for dividing, since dividing is actually multiplying by the reciprical.


How does knowing the absolute values of an integer help you when multiplying and dividing?

You do the multiplication or division using the absolute value - without worrying about the sign. Then, when you have got the answer, you apply the rules for signs to decide whether your answer should be positive or negative.


What are the seven rules for exponents?

Rules for exponents to multiply powers, add the exponents to divide powers, subtract the exponents to find a power of a power, multiply the exponents to find a power of a quotient, apply the power top and bottom to find a power pf a product, apply the exponent to each factor in the product x0 = 1 anything to the power zero equals one x-a = 1/xa a negative exponent means "one over" the positive exponent


How do exponents apply to the real world?

What is best value on a pizza, how much sod do you need for circular area?


How are solving equations similar to solving inequalities?

Solving equations and inequalities both involve finding the values of variables that satisfy a given mathematical statement. In both cases, you apply similar algebraic techniques, such as adding, subtracting, multiplying, or dividing both sides of the equation or inequality. However, while equations have a specific solution, inequalities can have a range of solutions. Additionally, when multiplying or dividing by a negative number in inequalities, the direction of the inequality sign must be reversed, which is a key difference from solving equations.


How can you apply division in real life situation?

Dividing up pizza slices amongst friends


What divisibility rule can you apply to a number when you are dividing by 3?

yes because you have 3 divided by 56