Exponents, Radicals, Rules

Which one am I?

100

This is the BASE in 3² 

What is 3

200

This is the BASE in (-3)³

What is -3

300

The exponent in (-2)⁴

What is 4

400

The number of times the base is multiplied in 4⁵

What is 5

500

Simplify n x n x n x n x n x n

What is 5⁶

Mystery

100

(mⁿ)^t

m ^{( n * t)}

200

√169g⁶f

√13 * 13 *g³ * g³ * f

13g³√f

300

2√200f⁵g⁴h³

2√2 * 2 * 5 * 2 * 5 * f² * f² * f * g² * g² * h * h * h

2*2*5*f²*g²*h√2fh

20f²g²h√2fh

400

√175a⁴b⁵c⁷

√7 * 5 * 5 * a² * a² * b² * b² * b * c³ * c³ * c

5a²b²c³√7c

500

a^-3b⁴c⁶/a⁶b²c²

a^-3b⁴c⁶/a⁶b²c²

b ^{4 - 2} c ^{6 - 2}/a ^{3 + 6}

b²c⁴/a⁹

Quotient Problems

100

Simplify:

h^6/(h^4)

h ^{(6 - 4)}

h^2

200

Simplify:

(-y)^10/(-y)^4

-y ^{( 10 - 4 )} 

(-y)^6

300

Simplify:

-[(-e)^12]/[(-e)^5]

 -e ^{(12 - 5)}

-(-e)^7

400

Simplify: 

(14a^9)/(2a^6)

14/2 = 7 

a ^{(9 - 6)}

7a^3

500

Simplify 

[k^0*k^15]/[k^5*k^3]

k⁰ = 1

k ^{(15 - 5 - 3)}

k^7

Negative/Zero Rule

100

Rewrite with a positive exponent: 3^-4

What is 

1/3^4

200

Simplify: (r)^-2 (t)³

What is t³/ r²

300

Rewrite with a positive exponent (-g)^-3

What is 

1/(-g)^3

400

Any number--and I mean ANY number--raised to the 0 power

What is 1

500

x^-2y³z⁵/y²

y ^{( 3 - 2 )} z⁵ / x²

yz⁵/x²

Rules of Exponents

100

When multiplying similar bases, what is done with the exponents?

What is ADD

200

When dividing bases that are the same, what is done with the exponents?

What is subtract the exponents

300

When raising a power to a power, what do you do with the exponents

What is multiplication

400

(mⁿ)(m^t)

m ^{( n + t )}

500

mⁿ/m^t

m ^{( n - t )}