Q: 5 to the power of 3 times 5 to the power of -3?

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3 to the power of 5 equals 243. 3 to the power of 5 means 3 times 3 times 3 times 3 times 3.

a to the b power means b lots of a, all multiplied together. Thus 5 to the 5 power or 55 is 5x5x5x5x5, and 5 to the 3 power, or 53 is 5x5x5. Thus the question can be written as 5x5x5x5x5x4x5x5x5x6. This is now a simple calculation that comes out at 9,375,000. Thus 5 to the 5 power times 4 times 5 to the 3 power times 6 is 9,375,000.

5 to the 12 power.

GCF is 60

It is correct only for the first one. The second one should be 3 to the power 2 times 2 times 5.

5 to the 7th power

5 times by 10 to the power of 3 in standard notation = 5,000

It is: 25

5 to the power of 8.

8 x 9 x 5 and 4 x 3 x 25 360 and 300 The GCF is 60.

5 to the power of three times 5 to the power of 2 is equal to 5 to the power of 5. We know this because A^a times A^b equals A^(a+b). We know this by solving the problem manually. 5 to the power of 3 is equal to 5*5*5 and 5 to the power of 2 is equal to 5*5. when you multiply them, it becomes 5*5*5*5*5 which is equal to 5 to the power of 5.

An exponent means "this many times." So, 4 cubed (to the power of 3; a 3 exponent.) is 4 NOT times 3, but 3 TIMES. So it is 4x4x4(=64). Or, 5 to the power of 5 is 5 times itself 5 times, so, 5x5x5x5x5(=3,125). 3 to the power of 9 is 3 times itself 9 times. Basically, the exponent tells how many times you multiply the number by itself. Does that help?

360

-5

3^5*4^5 = (3*4)^5 = 12^5

23 * 32 * 5 = 8 * 9 * 5 = 360

(2 * 3)^2 *5=180 but 2*(3)^2 *5=90

225

120

It is: x to the power of 5

2^5 x 2^3 = 2^8 = 256

m3*m5 = m3+5 = m8

495

Both are correct.

3^2 x 5^2 = 3 x 3 x 5 x 5 = 9 x 25 = 225