Well, isn't that a happy little math problem we have here? To solve 9 to the power of x equals 243, we can rewrite 243 as 3 to the power of 5. Since 9 is 3 squared, we can rewrite 9 as 3 to the power of 2. Now we have 3 to the power of 2x equals 3 to the power of 5. So, setting the exponents equal to each other, we get 2x equals 5. Therefore, x equals 5 divided by 2, which simplifies to x equals 2.5. Happy solving!
The number is -3
The base and exponent form a pair. You can chose any positive base and that will determine the exponent.243 = 49^1.5 that is base = 49, exponent = 1.5)or 243 = 10^2.5353 (approx) or 243 = 7^3.
The fourth root of a number is the number that, when multiplied by itself four times, equals the original number. In this case, the fourth root of 243 is approximately 3. The calculation is done by finding the number that, when raised to the power of 4, equals 243.
Oh, what a happy little question! When we have a number raised to a negative power, we can simply move it to the denominator to make it positive. So, 3 to the power of negative 5 is 1 over 3 to the power of 5, which equals 1 over 243. Just a little math magic to brighten your day!
Well, isn't that a happy little math problem we have here? To solve 9 to the power of x equals 243, we can rewrite 243 as 3 to the power of 5. Since 9 is 3 squared, we can rewrite 9 as 3 to the power of 2. Now we have 3 to the power of 2x equals 3 to the power of 5. So, setting the exponents equal to each other, we get 2x equals 5. Therefore, x equals 5 divided by 2, which simplifies to x equals 2.5. Happy solving!
3
The number is -3
b = -3
The letter a is a variable. "To the fifth" means to the fifth power, or a*a*a*a*a. If a equals 3, "a to the fifth" equals 243.
Well, isn't that just a happy little math problem! If you take a moment to think about it, you'll see that 81 times 3 equals 243. Just like painting a beautiful landscape, sometimes all it takes is a little patience and perspective to find the right answer. Happy calculating!
It is: 243 to the power of 1/5 = 3 because 3*3*3*3*3 = 243
243
One third of 3 to the sixth power can be calculated by first finding 3 to the sixth power, which is 3^6 = 729. Then, divide 729 by 3 to find one third of it. Therefore, one third of 3 to the sixth power is 729 divided by 3, which equals 243.
3x3x3x3x3=243
Oh, what a delightful question! When you multiply 3 by itself 5 times, you get 243. Isn't that just a happy little number? Keep exploring the world of math, my friend, there are endless possibilities waiting for you.
Negative 3 raised to the power of 5 is equal to -243.