## All Tasks

#### Inverse matrix

Given a matrix $A$ and its inverse matrix $B$. Choose the correct statements.
We define $I$ as the identity matrix and $A^{T}$ as the transpose of $A$. Further, $k\neq0$ is a scalar and $det(A)$ represents the determinant of A.

# Inverse

Reasoning

13

#### Simplify the power

Who has the right answer?
Exercise: Simplify the following power.
1) $ (1234)^{-1000}\\ $
Lisa: The answer is $\frac1{(1234)^{1000}}$
Ali: No the answer is 1,234.

# Powers of non-negative rational basis

Reasoning

8

#### Determination of an easy negative power

Write the exact answer to this exercise.
If you need to write the power then use this form a^b. For fractions use this form a/b.
Use this rule to get to the solution:
$ a^{-b\;}=\frac1{a^b}\\ $
1) $ 5^{-2} $
2) $ 7^{-3} $

# Powers of non-negative rational basis

Learning

8

#### Multiplication with powers

Make the calculations and then fill the gaps $4x^2\cdot5x^4$

# Powers of integer exponent

Learning

8

#### Hard negative power

Choose the right answers ( more than one).
$ 3^{-\frac56}\\ $ is the same as ...

# Powers of non-negative rational basis

Training

8

#### Multiplication of powers

Simplify with the help of the first Powerlaw and choose the right answer option
$ x^{2\;}\times\;x^3\ $

# Powers of integer exponent

Training

8