157k views
4 votes
Factorise; 2 cubed multilpied by 2 squared

User YourMJK
by
5.7k points

2 Answers

5 votes

Hey there!

2 cube multiplied by 2 squared

= 2³ × 2²

= (2 × 2 × 2) × (2 × 2)

= 8 × 4

= 32.

Hope it helps ya!

User Mandar Jogalekar
by
6.4k points
3 votes

Hello Harry4Hudson!


\huge \boxed{\mathfrak{Question} \downarrow}

Factorise; 2 cubed multilpied by 2 squared.


\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

Firstly let's change the statement to a numerical expression.


\cdot\sf \: 2 \: cubed = 2 ^(3) \\ \cdot\sf \: multiplied \: by = * \\\cdot\sf \: 2 \: squared = 2 ^(2) \\ \\ \sf \: So, \: the \: expression \: becomes \rightarrow \boxed{\tt {2}^(3) * {2}^(2) }

__________________


2 ^(3) * 2^(2)

To solve this, we must know that while multiplying exponents which have a same base we must take their base as common & add the exponents.


2 ^(3) * {2}^(2) \\ = (2) ^(3 + 2) \\ = \underline{\underline{ 2 ^(5) }}

We got 2⁵. Now, multiply 2 five times to get the answer.


{2}^(5) \\ = 2 * 2 * 2 * 2 * 2 \\ = \huge \boxed{\boxed{\bf 32}}

__________________

Hope it'll help you!

ℓu¢αzz ッ

User Alexis Peters
by
5.4k points