The question illustrates the use of powers or exponents
- The powers being multiplied in [tex](8^2)^3[/tex] are [tex]8^2 , 8^2[/tex] and [tex]8^2[/tex].
- The powers being multiplied in [tex](2^4)(5^4)[/tex] are [tex]2^4[/tex] and [tex]5^4[/tex].
We have:
[tex](8^2)^3[/tex]
To do this, we apply the following law of indices:
[tex](x^m)^3 = x^m \times x^m \times x^m[/tex]
So, we have:
[tex](8^2)^3 = 8^2 \times 8^2 \times 8^2[/tex]
Hence, the powers that are being multiplied are [tex]8^2 , 8^2[/tex] and [tex]8^2[/tex].
Similarly:
[tex](2^4)(5^4)[/tex]
We apply the following law of indices:
[tex](x^m)(y^m) = x^m \times y^m[/tex]
So, we have:
[tex](2^4)(5^4) = 2^4 \times 5^4[/tex]
Hence, the powers being multiplied in [tex](2^4)(5^4)[/tex] are [tex]2^4[/tex] and [tex]5^4[/tex]
Read more about powers and exponents at:
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