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which of the following expressions is true?

4³x4⁵ <4¹²
5²x5³>5⁵
3²x3⁴=3²
5²x5⁴=5⁸

The true expression is:

3²x3⁴=3²

(9 x 81 = 9)

Did you know?

Did you know that exponentiation, or raising a number to a power, can help us compare the size of different expressions? In the given expressions, we can observe that 4³ multiplied by 4⁵ is actually less than 4¹², showing that increasing a number to a higher power can make it larger. On the contrary, 5² multiplied by 5³ is greater than 5⁵, demonstrating that exponentiating a number can also make it smaller. Interestingly, 3² multiplied by 3⁴ is indeed equal to 3², highlighting that when multiplying a number by itself, we can simplify the expression. Lastly, 5² multiplied by 5⁴ equals 5⁸, signifying that when multiplying the same base with different exponents, we can use another exponentiation rule, which states that multiplying exponents with the same base is equivalent to adding their powers.