Hello Harry4Hudson!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Factorise; 2 cubed multilpied by 2 squared.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Firstly let's change the statement to a numerical expression.
[tex] \cdot\sf \: 2 \: cubed = 2 ^{3} \\ \cdot\sf \: multiplied \: by = \times \\\cdot\sf \: 2 \: squared = 2 ^{2} \\ \\ \sf \: So, \: the \: expression \: becomes \rightarrow \boxed{\tt {2}^{3} \times {2}^{2} }[/tex]
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[tex]2 ^{3} \times 2^{2} [/tex]
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.
[tex]2 ^{3} \times {2}^{2} \\ = (2) ^{3 + 2} \\ = \underline{\underline{ 2 ^{5} }}[/tex]
We got 2⁵. Now, multiply 2 five times to get the answer.
[tex] {2}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ = \huge \boxed{\boxed{\bf 32}}[/tex]
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Hope it'll help you!
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