Because the exponent is applicable only for the number 3 and not for the negative sign. Log On Ad: Over 600 Algebra Word Problems at : Word Problems: Miscellaneous Word Problems Word. Twenty more than the square of a number is twelve times the number. Write the following expression in simplified form. Even though the exponent of -3 2 is even, the result is still negative. Algebra -> Customizable Word Problem Solvers -> Misc-> SOLUTION: Solve by factoring and using the principle of zero products. You can also think of this as to the fifth power. This means that the variable will be multiplied by itself 5 times. Hence, the value of 7 x 7 x 5 x 5 is 1225. example, the exponent is 5 and the base is. Write the following expression in exponential form. To multiply exponential terms with the same base, add the exponents. Because the exponent is applicable only for the number 3 and not for the negative sign. For any number x and any integers a and b, (xa)(xb) xa+b ( x a) ( x b) x a + b. That is, if a negative number has even exponent, its result is positive and when it has odd exponent, its result is negative.Įven though the exponent of -3 2 is even, the result is still negative. When a negative number is multiplied repeatedly by itself for even number of times, the result is positive and the same is done for odd number of times, the result is negative. The result of (-3) 4 is positive and the result of (-3) 5 is negative. Repeated Multiplication with Negative Base Here, 5 is the base and 3 is the power of exponent. For example, to write 2 as a factor one million times, the base is 2, and the exponent is 1,000,000. BaseExponent The exponent tells us how many times the base is used as a factor. The power or exponent of a number says how many times a number has to be multiplied repeatedly by itself. Exponential notation is an easier way to write a number as a product of many factors. Given the standard form of a number raised to the n th power, we can find the standard form of that number raised to the n+1 power with a single multiplication. Intel may make changes to specifications and product descriptions at any. By examining this pattern, we can predict the next product in the list.
Power of a number can be evaluated using repeated multiplication of the number by itself.įor example, 5 to the third power can be evaluated using multiplication of 5 by itself for three times as shown below. Summary: When you find powers of a number in sequence, the resulting list of products forms a pattern.
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