More answers

No, but you're close. Negative exponents do not work the same way as negative multiplication. When an exponent is negative, we wind up dividing one by the base. So the answer here would be:

1/343

Sound a bit confusing? Here's an easier way to think about it. Consider what an exponent represents - it's the number of times the base is multiplied by itself. For example, 24 is the same as 2 * 2 * 2 * 2. If we divide that by two, we're left with 2 * 2 * 2, which is the same as 23. We can repeat this, dividing again by 2, which gives us 2 * 2, or 22. This pattern continues. Each time we lower the exponent by 1, we are effectively dividing by the base. Consider then what happens if we keep going:

24 = 2 * 2 * 2 * 2 = 16

23 = 24 / 2 = 2 * 2 * 2 = 8

22 = 23 / 2 = 2 * 2 = 4

21 = 22 / 2 = 2

20 = 21 / 2 = 2 / 2 = 1

2-1 = 20 / 2 = 1/2

2-2 = 2-1 / 2 = 1 / (2 * 2) = 1/4

2-3 = 2-2 / 2 = 1 / (2 * 2 * 2) = 1/8

Notice that there are a few key relationships to be seen here:

Any value raised to a negative exponent is equal to one divided by that same value raised to the positive value of the same exponent:

a-b = 1/(ab)

Anything raised to the power of zero is equal to one (except zero itself, which is a special case):

a0 = 1

Anything raised to the power of 1 is equal to itself:

a1 = a

Q: Is 7 to the negative third power -343?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

343

8^3 (8x8x8) = 512 7^3 (7x7x7) = 343 9^3 (9x9x9) = 729

7 to the power of 3 is: 7 x 7 x 7 = 343 Another way to write it is: 7^3 = 343

7 cubed is 343

Seven cubed = 343

Related questions

343

7 to the third power or 343

7 x 7 x 7 = 343

8^3 (8x8x8) = 512 7^3 (7x7x7) = 343 9^3 (9x9x9) = 729

NO 7 to the third power is the same 7 x 7 x 7 = 343 777 x 3 = 2331 not the same

-7

7 to the power of 3 is: 7 x 7 x 7 = 343 Another way to write it is: 7^3 = 343

343 is 7 to the power of 3 ( 7 x 7 x 7 = 343) To find 7 to the 3 power to the 2/3 power you multiply the exponents and raise 7 to that power: 3 x 2/3 = 2 7^2 = 49

7 cubed is 343

Seven cubed = 343

343

The answer is 343