Power
Prime factors in exponent form: 2^4 * 11
The prime factors of 90 in exponential form are 21 x 32 x 51.
441 = 32 x 72
35 x 7 = 1701
23 x 32 x 11 = 792
Exponents are just shorthand for repeated factors.2 x 2 x 2 x 3 x 3 x 3 = 21623 x 33 = 216
powers, or exponent
A number written as a product of repeated multiplication is expressed using exponentiation, where the base is the number being multiplied and the exponent indicates how many times it is multiplied by itself. For example, ( 2^3 ) represents the number 2 multiplied by itself three times: ( 2 \times 2 \times 2 ), which equals 8. This notation simplifies the representation of large products and identifies the number of factors involved.
34 = 81
Power of a number can be evaluated using repeated multiplication of the number by itself. For example, 5 to the third power can be evaluated using multiplication of 5 by itself for three times as shown below. 53 = 5 x 5 x 5 The power or exponent of a number says how many times a number has to be multiplied repeatedly by itself.
As a product of its prime factors: 3*5*11 = 165 none of which have exponents
To write repeated multiplication in an exponential notation, you should write the number that has to be multiplied as the base. Count the number of times that the number is used.
When expressing a number as a product of its prime factors as for example 2*2*2*2*2*2 = 64
1) Find the prime factors. For example, 12 = 2 x 2 x 3. 2) Replace all repeated prime factors by a single copy of the prime factor, and an exponent that specifies how often the prime factor is repeated. For example, 2 x 2 x 3 = 22 x 3.
3 x 137 = 411
92 = 81
To solve -8 cubed using exponents, you raise -8 to the power of 3, which can be written as (-8)³. This equals -8 * -8 * -8, or -512. As a product of repeated factors, you can express it as -8 * -8 * -8 = (-1) * 2 * 2 * 2 * 2 * 2 * 2 * 2 = -512.