Indices Simplification

 $-7^3$   is equivalent to

•  $-\left(-7^3\right)$ 

•  $-\left(7^3\right)$  

•  $-\left(7^{-\frac{1}{2}}\right)^6$  

•  $\left(\left(-7\right)^2\times7^3\right)^{\frac{1}{2}}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

(-4)⁷ ÷ (-4³) is equivalent to

• (-4)⁴

• 4⁴

• -4⁴

• 4^-4

(-2⁶)⁵ is equivalent to

• -2

• (-2)¹¹

• 2³⁰

• -2³⁰

Simplify,

t ^-3 ÷ t ^{- 1}

• t ²

• t ^{- 4}

• t ^{- 2}

• (t ^{- 1})²

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify,

(z³yx) × (x²yz)

• z⁴ y² x³

• 6 zyx

• 3z 2y 3x

• z² ÷ x

Tags

CCSS.HSA.APR.A.1

Write without brackets

(2 x y² )²

• 2 x² y⁴

• 2 x y⁴

• 4 x² y⁴

• 2 ( 2 x y²)

Write $3^2\times\left(\frac{1}{3^4}\right)$ 

as a SINGLE power in its simplest form

•  $3^2$ 

•  $-3^2$  

•  $\frac{1^2}{3^2}$  

•  $3^{-2}$  

Simplify $\left(x^{\frac{3}{4}}y\right)^{-\frac{1}{3}}$  

•  $x^{\frac{3}{4}}y^{-\frac{1}{3}}$  

•  $x^{-\frac{1}{4}}y^{-\frac{1}{3}}$  

•  $-\frac{1}{3}\left(x^{\frac{3}{4}}y\right)$  

•  $1\div\left(x^{\frac{1}{4}}y^{\frac{1}{3}}\right)$ 

Simplify 

 $-\frac{5p^0t^{-5}}{2^{-1}m^2}$  

•  $\frac{5p}{2t^{5\ }m^2}$  

•  $10m^2t^5$ 

•  $\frac{\left(-5\right)^{2\ }}{t^5m^2}$  

•  $-\frac{10}{t^5m^2}$  

Simplify:

25 x ⁶

5 x ³

• 20x³

• 5x⁹

• 5x³

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2