 #### 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