## All Tasks

#### Write number as a power

How can you write the number $250$ as a power?

# Powers of integer exponent

Modeling

8

#### Exponential inequality

For which values of $x$ is it true that:
$(\frac{1}{2})^{x+9}>4$.
It uses only the properties of the powers.

# Powers of non-negative rational basis

# Exponential properties

Modeling

13

#### Algebraic expression with powers

Solve the following expression:
$4^7 ∶ 4^5 + 3^2 \cdot 6^2 ∶ 6^2 + 12^4: 12^3 − (5^4)^3 ∶ 5^{10} $

# Powers of integer exponent

Training

8

#### Multiplication with a number

What is the result if you multiply the fraction $\frac{2}{3}$ with the number 5?

# Fractions

Learning

6

#### It’s time to eat!

There is a pizza composed by eight slices. Vanessa is hungry and decides to eat five slices. How much pizza is left? Write it in a fraction.

# Fractions

Modeling

6

#### Derivative of e

In the picture you can see the function $f(x)=e^x$.
Think about the derivative and imagine drawing it. What is true?

# Exponential function

# Derivation of functions

Reasoning

11