Which expression is true?

Question

4³x4⁴=4¹²
5²x5³>5⁵
3²x3⁵<3⁸
5²x5⁴=5⁸

Answer 1

5²x5⁴=5⁸ is true.

Explanation:

- 5² means "5 squared", which is 5 raised to the power of 2, or 5x5=25.
- 5⁴ means "5 to the fourth power", which is 5x5x5x5=625.
- Therefore, 5²x5⁴ means 25x625, which equals 15,625.
- And 5⁸ means "5 to the eighth power", which is 5x5x5x5x5x5x5x5=390,625.
- So the statement 5²x5⁴=5⁸ is true, because 15,625=390,625.

Answer 2

3²x3⁵<3⁸
because
3^7 < 3^8

and
So the statement 5²x5⁴=5⁸ is true, because 15,625=390,625
WHAT ?????

Answer 3

I apologize for the mistake in my previous answer. The correct explanation for 3²x3⁵<3⁸ is:

- 3² means "3 squared", which is 3 raised to the power of 2, or 3x3=9.
- 3⁵ means "3 to the fifth power", which is 3x3x3x3x3=243.
- Therefore, 3²x3⁵ means 9x243, which equals 2187.
- And 3⁸ means "3 to the eighth power", which is 3x3x3x3x3x3x3x3=6561.
- So the statement 3²x3⁵<3⁸ is true, because 2187 is less than 6561.

Again, I apologize for the confusion.

Answer 4

Look, you do not actually have to calculate the numbers to find that 3^7 is less than 3^8
because
3^8 = 3 * 3^7

Answer 5

You are correct. One can use the property of exponentiation that says a^m * a^n = a^(m+n) to simplify 3²x3⁵<3⁸.

- 3²x3⁵ can be rewritten as 3^(2+5) by the property mentioned above, which is 3^7.
- So the inequality can be written as 3^7 < 3⁸, which is true because 3^8 is equal to 3 * 3^7.