Simplify each expression with exponents. Show work. 93 x90= 33x30= (-6)0x62 122x(-12)0

Mathematics

ScanSolve AI Answer

Question 1: Simplify 93×9093 \times 90

Using the property of exponents, am×an=am+na^m \times a^n = a^{m+n}, we have 93×90=93+0=9393 \times 90 = 9^{3+0} = 9^3.


Question 2: Simplify 33×3033 \times 30

Similarly, 33×30=33+0=3333 \times 30 = 3^{3+0} = 3^3.


Question 3: Simplify (−6)0×62(-6)^0 \times 62

Since any non-zero number raised to the power of 0 is 1, (−6)0×62=1×62=62(-6)^0 \times 62 = 1 \times 62 = 62.


Question 4: Simplify 122×(−12)0122 \times (-12)^0

Again, using the property of exponents, (−12)0=1(-12)^0 = 1, so 122×(−12)0=122×1=122122 \times (-12)^0 = 122 \times 1 = 122.

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