Question

Product of powers property
X4.x3=___x(12)___

Answer 1

Rule:
\[\LARGE x^a*x^b = x^{a+b}\]

Answer 2

I don't get is that all

Answer 3

\[2^3=\overbrace{2\times 2\times2}^{3\text{ times}}\]
\[x^a = \overbrace{x\times x\times\cdots\times x}^{a\text{ times}}\]

\[x^a\times x^b = \overbrace{x\times x\times\cdots\times x}^{a\text{ times}}\times \overbrace{x\times x\times\cdots\times x}^{b\text{ times}}\\
\qquad\quad =\overbrace{x\times x\times\cdots\times x}^{a+b\text{ times}}\\
\qquad\quad =x^{a+b}\]

Answer 4

\[(x^a)^b = \overbrace{\overbrace{x\times x\times\cdots\times x}^{a\text{ times}}\times\overbrace{x\times x\times\cdots\times x}^{a\text{ times}}\times\cdots \overbrace{x\times x\times\cdots\times x}^{a\text{ times}}}^{b\text{ times}}\\
\quad\quad= x^{a\times b}\]

Answer 5

So what's the answer

Answer 6

Can you write out your question again please? (it's not exactly clear)

Answer 7

X4•X3=__x(12)__

Answer 8

\[x^4\cdot x^3 = ?x^{12}?\]

Answer 9

Yes

Answer 10

what are the underscores/blanks??